Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with stepbystep explanations, just like a math tutorNow invert this function Switch y and X to get X = y/2 5/2;Q If $\large f(x) = (sin^2 x 1)^n (2 cos^2 x)$ , then x = π/2 is a point of (A) local maximum, if n is odd (B) local minimum, if n is odd local maximum, if n is even (D) local minimum, if n is even Sol If x = a is the point of local extremum of y = f(x), then f( a –h)f(a h) > 0 ⇒ f( π/2 –h)
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If y=f(x)=(x+2)/(x-1) then f^(-1) is (a) f(y) (b) 2 f(y) (c) (1)/(f(y))-Just replace x with n1 to obtain so choice C is correctIf xy=2 and x−y=1, then what is xy?
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Our output would be ( x − 2) 2 − 3 ( x − 2) 1 Every x in the function corresponds to the input value Therefore we can write our function like this f ( x − 2) = ( x − 2) 2 − 3 ( x − 2) 1 In general, if you have f ( x) and you want to find f ( m) just replace all the x with mTo ask Unlimited Maths doubts download Doubtnut from https//googl/9WZjCW If `2f (x1)f((1x)/x)=x , then f(x)` is2 f(x) = x7 over 5, f(x) = 5x7 Are these functions inverses of each other?
For the usual y = f(x), the input is x and the output is y For the INVERSE function x = f^1(y), the input is y and the output is x If y equals x cubed, then x is the cube root of y that is the inverse If y is the great function e^x, then x is the NATURAL LOGARITHM ln y Start at y, go to x = ln y, then back to y = e^(ln y)In this *improvised* video, I show that if is a function such that f(xy) = f(x)f(y) and f'(0) exists, then f must either be e^(cx) or the zero function It'Click here👆to get an answer to your question ️ If y = f (2x 1/x^2 1 ) and f^'(x) = sin x^2 , then dy/dx = (IIT JEE, 19)
Given a function g with this property, we can easily construct a suitable f Just let f ( x) = { g ( x) x ≥ 0 g ( − x) x < 0 If g is additionally continuous then so is f We can find a lot of continuous g Pick a 1 ∈ ( 0, 1), let a 0 = 0 and recursively a n = a n − 2 2 1 for n ≥ 2Read this passage from "The Obligation to Endure" These sprays, dusts, and aerosols are now applied almost universally to farms, gardens, forests, anDivide both sides by f Dividing by f undoes the multiplication by f Divide 1 by f Divide \frac {f1} {f}, the coefficient of the x term, by 2 to get \frac {1} {2}\frac {1} {2f} Then add the square of \frac {1} {2}\frac {1} {2f} to both sides of the equation
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Rational Roots Test is one of the above mentioned tools It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading CoefficientX y = 2 (equation 1) x y = 1 (equation 2) Add the equations for 2x = 3, meaning that x = 3/2 Using x = 3/2 in equation 1 gives y = 1/2 Using x = 3/2 in equation 2 also gives y = 1/2 (3/2)*(1/2) = 3/4 AnswerJan 19, · Taking the functions f(x) = (x − 3)logx, prove that there is at least one value of x in (1, 3) which satisfies xlogx = 3 − x asked Dec , 19 in Limit, continuity and differentiability by Rozy ( 418k points)
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Or equivalently if the following equation holds for all such x f ( x ) − f ( − x ) = 0 {\displaystyle f(x)f(x)=0} Geometrically, the graph of an even function is symmetric with respect to the y axis, meaning that its graph remains unchanged after reflection about the y axisSomething went wrong Wait a moment and try again Try again Please enable Javascript and refresh the page to continue3 y f x 2 x 4 4 y f x x 2 1 5 y f x x 1 6y f x 2 x x 1 7y f x 3 x 1 8 y f x x 3 from MATH MTH 133 at Michigan State University This preview shows page 2 5 out of 28 pages
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Y = f (x 2 2) dy/dx = f' (x 2 2) 2x Put x = 1 dy/dx = f' (1 2)2 = f ' (3)× 2 = 5× 2 = 10 Hence option (4) is the answerCompute y/2 = X5/2;Answer to If 3x^2 y^2 = 7, then evaluate \dfrac{d^2y}{dx^2} when x = 1 and y = 2 Round your answer to 2 decimal places By signing up, you'll
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690 views · View upvotes · Answer requested byOct 23, 19 · First we square the number 3 and then multiply it with 2 and then add 1 This is done because of the BODMAS rule, in which multiplication is given higher preference as compared to addition On solving the equation we get, F (x)=2×91 F (x)=181 F (x)=19 Therefore the value of f (x) when x=3 is 19 Hence the correct option is 'd'{eq}\displaystyle y = f (x_1,\ x_2) = 12 x_1^4 6 x_1^2 x_2 4 x_2^3 {/eq} We first define what such an equation is, and then we give the algorithm for solving one of that form Specific
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Rule #2 Convert given function to f (X) f (2x–1) = x2;Graph f (x)=x^22x1 f (x) = x2 2x − 1 f ( x) = x 2 2 x 1 Find the properties of the given parabola Tap for more steps Rewrite the equation in vertex form Tap for more steps Complete the square for x 2 2 x − 1 x 2 2 x 1 Tap for more steps Use the form a x 2 b x c a x 2 b x c, to find the values of a a, b bHowever there can exist
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Solution (5) f (x) = 2 x (x1) y = 2 x (x1) log y = log 2 x (x1) log y = x (x – 1) log 2 log y = (x 2 – x) log 2 x 2 log 2 – x log 2 – log y = 0 x = (1 / 2) {1 √1 4 log 2 y f 1 = (1 / 2) {1 √1 4 log 2 xMay 31, 21 · If y = f(x) = (x2)/(x1) , x ne1 , then show that x = f(y) Updated On To keep watching this video solution for FREE, Download our App Join the 2 Crores Student community now!1 If f x = e2xtan1 x , then f¢ 1 = A e2 2 B e2 p 4 C e2 D e2 p 2 E e2 p1 2 f x = e2xtan1 x ,so f¢ x = e2x 2 tan1 x e2x 1 1 x2,so f¢ 1 = 2e2 p 4 e2 1 2 = e2 p 2 e2 1 2 or f¢ 1 = e2 p1 2 and the answer is E 2 The slope of the line tangent to the curve 3x22xy y2 = 11 at the point 1,2 is A 1
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Feb 15, · Transcript Misc 7 If f is a function satisfying f (x y) = f(x) f(y) for all x, y N such that f(1) = 3 and , find the value of n Given that f (x y) = f(x) f(y) x, y N and f(1) = 3 f (1) = 3 f (2) = 9 = 3 2 f (3) = 27 = 3 3 f (4) = 81 = 3 4 Similarly, f (5) = 3 5 f (6) = 3 6 Thus our series is 3, 3 2 , 3 3 , 3 4 , n terms This is a GP, where a = 3 r = 3 2 3 =3 Given sum of GP = 1 = ( 1Jun 19, 19 · If y=f (x)=x2/x1, x,y is not=1 then x is equal to 1 See answer plus Add answer 13 pts report flag outlined bell outlined Log in to addSee the answer See the answer See the answer done loading
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Nov 28, 13 · Find values of x where tangent line to f(x)=(1/x) is parallel to the line y=5x9 asked Feb 27, 14 in CALCULUS by chrisgirl Apprentice equationofatangentlineQuestion If f (x)= x2/x1, then f (n1) is equal to A)1/2 b)n2/n1 c)n1/n2 d)n1/n2 Answer by richard1234 (7193) ( Show Source ) You can put this solution on YOUR website!3 If f Log On Algebra Equations Section Solvers Solvers Lessons Lessons Answers archive Answers Click here to see ALL problems on Equations;
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Transcribed Image Textfrom this Question Suppose that y=f (x)=x24x4 Then on any interval where the inverse functiony fx)exists, the derivative of y f (x) with respect to x is (Hint 44x 4 can be factored and rewritten as "something" squared) 2F4 , wherex and y satisfy the equation,y=x?4x 4 丨,1/2 Both 4, where x and y satisfy theClick here👆to get an answer to your question ️ If y = f(x) = x 2/x 1 , then=> y = 2X5;=> f^1 (X) = 2X5;
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Apr 09, 15 · Suppose that y = f (x) = x^24x4 Then on any interval where the inverse function y = f^–1 (x) exists, the derivative of y = f^–1 (x) with respect to x is a) 1/ (2x4) b) 1/ (2y4), where x and y satisfy the equation y=x^24x4 c) (1/2)x^ (1/2) d) (1/2)x^ (1/2) e) Both 1/ (2y4), where x and y satisfy the equation y=x^24x4 and (1/2)xSep 12, · If f(x) = 1 – x x2 – x3 –x99 x100, then f'(1) is equal to A 150 B –50 C –150 D 50 Welcome to Sarthaks eConnect A unique platform where students can interact with teachers/experts/students to get solutions to their queriesCauchy's functional equation is the functional equation () = () Solutions to this are called additive functionsOver the rational numbers, it can be shown using elementary algebra that there is a single family of solutions, namely ↦ for any rational constant Over the real numbers, ↦, now with an arbitrary real constant, is likewise a family of solutions;
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Mar 21, 17 · If a≠b then ab is nonzero, (ab)/2 is nonzero, and we can construct an ε>0 st ab>ε So if what you quote is a definition in some system then it must be in place of one of the axioms I know Anyway, having solved part d, I think there is an easier way using the hint If f (x)≠x then between them Mar 21, 17Here y=2x/(1x^2) Make sense So multiply both side by (1x^2) a quadritic equation will form in which cofficent of x^2 will be y and that of x will be 2 And constant will be 2 For x to be real D greater than or equal to zero So D=2^2–4y^2≥0 now Y^It must be in terms of f (x)∵ ƒ(x) = ( x 1 ) / ( x 1 ) (1) ∴ ( x 1 ) ƒ(x) = x 1 ∴ x ƒ(x) ƒ(x) = x Thank you for registering One of our academic counsellors will contact you within 1 working day
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If f (x) = x1/x1 then f (2x) is ?Basically, the function has to be "onetoone" and "onto" The absolute value function isn't onetoone, because although every x in the domain maps to only one y in the range, not every y in the range is mapped to by only one x But IF the function is invertible, then f (x)=f (a) will imply x=aSuppose that y = f(x) = x^2 4x 4 Then on any interval where the inverse function y = f1(x) exists, thederivative of y = f1(x) with respect to x is (Hint x^2 4x 4 can be factored and rewritten as "something" squared) Work thus far Okay, so I know that I can factor y to equal y = (x 2)^2 Next, I can solve for the inverse function
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If the function outputs "7" when "3" is input, and we input x 2, the function will output "7" when x = 1 Thus, adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right Here are the graphs of y = f (x), y = f (x 2), and y = f (x 2)X2=X/2 5/2;=> f (X) = X/2 5/2;If F(x) = x2 then f^1 (x2) is what?
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Aug 14, 18 · How Y=f(x) and DMAIC Work Together If outcomes are the results of drivers within a process, and DMAIC is a vehicle to identify the process and input variables that influence the process output measurements, then the two combined can offer a powerful partnership So, how does each word that makes up the acronym DMAIC work towards Y=f(x)?Dec 08, 16 · If f(x)=(x^22x1)^2/3, then f'(0) is?Question 1 F and F^1 are functions
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Answer to If (2, 8) is on the graph of y = f(x), then what This problem has been solved!Or y = X/2 5/2 ;Divide f2, the coefficient of the x term, by 2 to get \frac{f}{2}1 Then add the square of \frac{f}{2}1 to both sides of the equation This step makes the left hand side of the equation a perfect square
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Watch Video in App This browser does(b) 2 x y dx ( y 2 x 2) dy = 0 Here, M = 2 x y, M y = 2x, N = y 2 x 2, and N x = 2 xNow, ( N x M y) / M = ( 2 x 2 x ) / ( 2 x y) = 2 / yThus, μ = exp ( ∫ 2 dy / y ) = y2 is an integrating factor The transformed equation is ( 2 x / y ) dx ( 1 x 2 y2) dy = 0 Let m = 2 x / y, and n = 1 x 2 y2Then, m y = 2 x y2 = n x, and the new differential equation is exactJul 23, 15 · Share 1 Follow 0 Anuradha Sharma, Meritnation Expert added an answer, on 23/7/15 Anuradha Sharma answered this f x = x x 1 = 1 y y = x 1 x xy = x 1 x y 1 = 1 x = 1 1 y So f y = 1 y = 1 x This conversation is already closed by Expert
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