Find the inverse of the function on the given domain f(x) = 9 – x2 , [o, ∞)

Q: Show that the function f (x) = 1- x is bijective and also find (i) its inverse function.

A: Bijective Function :  A function is said to be bijective or bijection, if a function f: A → B…

Q: The function f(x) = 3x³ + cos(3ræ) + 2x , x > 1 is known to be a strictly increasing function on its…

A: Given f(x) = 3x3 + cos(3πx) + 2x,  x≥1   ⇒ f'(x) = 9x2 - 3πsin(3πx) + 2

Q: Let f(x) = V5x + 4. Compute (f-1)'(2) using the Derivative of an Inverse Function Theorem.

A: Solution

Q: Z→ Z be such that f(x) = 4x + 2. Is f invertible, and if so, find its inverse function.

A: Given query is to find the inverse function.

Q: Let [x – 1 when x 1 (a) Is f increasing? (b) Does f have an inverse? If so, what is it?

A:

Q: find the inverse of th functien y=In(x_z). 2)

A: The easiest way to find the inverse of a function is to swap x and y and solve for y.

Q: the function f is not differentiable at x=0.

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Q: Is the function a. EVEN h ODD f(x) 1, -π<x<0 1, 0≤x<T

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Q: Consider the function f(x)=5x+6x^2 over the interval [0,1].

A: Given that :-         f(x) = 5x+6x2 over [0,1] (a)  By deviding the interval into n sub intervals of…

Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

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Q: Let f(x) = (x + sinx) - 1. Compute f'(x) separately using the Quotient Rule and the Chain Rule. Show…

A: Given f(x)=x+sinx-1

Q: Find the roots of the function f(x)=(2x-1)(x2+2x-3) with x belong to R

A: f(x)=(2x-1)(x2+2x-3)=0 We have find all the real numbers that make f(x)=0 because it is given that x…

Q: The function g(x) = ln(x³ – 1) defined on V2, 0) is not zero unless x 2.

A: Given statement

Q: Let f : X → Y be an invertible function. Show that f has unique inverse.

A: Given

Q: Find f(1) if f(t) dt = x- x + 2x2- 2, x >1. %3D

A: Given, ∫1x2ftdt = x6 -x4  +2x2 -2               x≥1 We have to find   f1

Q: Let f: [1,1]→ R be a function given by f(x)=2x-x2. Then the inverse image (preimage) of [0,4] under…

A: The answer is option D

Q: Find the linearization L(x) of the function at f(x) = x4 + 2x2, a = 1 L(x) =

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Q: Determine the status of the function f(x) x² + 1'* € (-0, co0). strictly increasing O

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2. Find the linearization L(x) of f(x) = x³ - 2x + 3 at x = 2 and use it to approximate f(1.9) and…

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Q: The function f(x)=(2-x)/(3) is continuous at

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Q: Let f, g:R R defined by if x 1 (x2 and g(x) = 3x + 2. %3D Find f-1 and g-1.

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Q: Find the function f(x), such that f(x)= In(3x) J ƒ(1)=1.

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Q: Compute f(-4) for the function f defined below. x <0 f(x) = 1x2 - 9, x20 %3D

A: Given Function : f(x)=6xx&lt;0x2-9x≥0

Q: Find the linearization L(x) at x =a. .3 f(x)=4x² +3x-1 a =-3 L(x) =

A: The linearization of a differentiable function f at a point x=a is the linear function…

Q: Find the linearization of the function at a . f(x) = sin x    , a = pie /6

A: The given function fx=sinx, a=π6

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: u² -v² +uv x=In", y=' (11–v)-

A: two functions x=lnuv...........(i) and y=u2-v2+uv(u-v)2..........(ii) are given. To find the…

Q: 20. Express the function F(x) = 1/x + J three functions. X as a composition of

A:

Q: Find the linearization L(x) at x= a. f(x) = 2x° + 5x - 3 a= 3 L(x) =

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Q: Find the linearization L(x) of f(x) at x = a. 3 6) f(x) = x, a = 8 %3D

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Q: Compute the coefficient Fourier f the f(x) = {" - T<x< 0 0<x<T

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Q: Find the function f(x) such that f' (x) = x²e# with f(0) = 0. O (x² - 2x - 2)e* + 2 O (x2 + x + 2)e*…

A:

Q: Show that the function f : R−{−2} → R−{1} defined by f(x)=x+1 / x+2 is a bijection, and find the…

A: Topic = Functions

Q: Show that the function g(x) =x |x | has an inflection point at (0,0) but  g " (0)  does not exist.

A: Given function:                                 g(x)=x|x|   To find out the Inflection point=?…

Q: Find F as a function of x and evaluate it at x = 2, x = 4, and x 8. X. F(x) 2 dt

A: First we solve the integration and after that  We put the value of x in the solved part.

Q: Consider the function, f(x) = 3 In(2x+ 1) - 7. Approximate f(-0.1) using a linear approximation.

A:

Q: Q3: a) Let f : Z → Z be such that f(x) = Vx² – x + 1. If invertible, and if it is, what is its -…

A: the function is invertible if its one -one and onto. The function is one - one if f(x1)=f(x2)…

Q: Find the linearization L(x)of the function at a .

A:

Q: Assume that f(x) is a differentiable and invertible function so that f(3) = 4 and f'(3) = .…

A: fx is differentiable and invertible function so that f(3)=4 and f'(3)=12

Q: ) The domain of the function y = In(1 – x²) is R – [-1,1].

A: Log (x) is defined for every  x is positive real number .

Q: 6. Prove that the function f defined by f (x)= ,xe(-00,1), has an inverse function 1-x defined on…

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Q: Find all the x-intercepts of f(x)=cos(x) on the interval [0,2π)

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Q: Is the function f(z) = (x2 - y2) + 2xyi entire? Why or why not?

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Q: C. Show that f(x) = (x26)² has no inverse on the interval (-∞,0).

A: Since you posted two questions here, i can answer only 1. Please reupload second question again.…

Q: Let f : N → Y be a function defined as f(x) = 4x + 3, where,                                 Y = {y…

A: Given:

Q: Let f(x, y) = -e2"-y + In(3x – y). Find the domain of this function.

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Q: 3 Show that the function f(x) = Vx – 5 is one to one function.

A: The given function is: fx=x-53