Composition and Inverses of Functions Suppose f(x) = 2x, g(x) = 3x - 2, and h(x) = x² – 4. Find the following.

Q: 9-30 Find the derivative of the fun erivative. State the domain of the fu erivative. 9. f(x) = 3x –…

A: We have to find

Q: inverse of the function x= 2/ y-3

A: Given:

Q: The function f (x) = 2x + 4. 1. Find the inverse function f- (x). 2. The function g (x) is…

A: Note:- according to the company policy we can attempt ?️ only three subpart of a question so please…

Q: Inverse function of f(x)=-0.7x

A: If  function f(x) maps x to y then inverse function of f(x) maps y to x.

Q: 13 The function f(x) = x+0, is one-to-one. Find an equation for f (x), the inverse function. (Type…

A: Explanation of the answer is as follows

Q: EVALUATING FUNCTIONS Evaluate the function f(x) given value of x. for the 1 + 3e

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Q: Find the first and second derivatives of the function. f(x) = x(x2 + 9)2 f '(x)  =        f ''(x)

A: Consider the given function: fx=xx2+92 Now simplify the expression:…

Q: 8. Find the inverse function. If the function is not one-to-one, restrict its domain first. State…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: -72 + esin æ + x° + 2e¯ Find the derivative xe -24

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Q: A function f(x) is given. f(x) = ln(ln(ln(5x)))   (a) Find the domain of the function f. (Enter your…

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Q: 2. Graph of y = f(x): 3 -2 -1- y=f(x) 1 2 3 6 7 -2 -3 4,

A: Consider the given graph: a) Since, the graph is not smooth and there are corners at x = 1, 4.…

Q: х-3 For the function f(x) = х-6. find f'''(x), the third derivative of f, and f(4) (x), the fourth…

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Q: Higher-Order Derivatives f(x)=2x^4-3x^3+2x^2+x+4   find f^10(x) =

A: We will apply the power rule to find the derivatives.  We find f^1(x) first

Q: Inverse functions Let f(x)=11x+10   Find f^−1(x)  f^−1(x)=

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Q: f(x) = x2 + 1, x2 0. Solve for the derivative of the inverse at the point (5, 2). Note: Do not find…

A: Here we have, f(x)=x2+1, x≥0 We have to find the derivative of the inverse at the point (5,2). at…

Q: determind the derivative of a function Let f(x) = In (x^2+16x+73) f'(x)=

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Q: (a) Find the domain of the functions f(x): V(1 – x)(x – 3) and g(x) = ln(x – 2)(5 – a). Also…

A: Given, The functions, Domain is a set of x values for which the function is defined.

Q: i need help with d through h

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Higher-Order Derivatives f(x)=2x^4-3x^3+2x^2+x+4   find f^4(x) =

A: Let the given function is f(x) = 2x4 -3x3 +2x2 + x + 4.   Now we have to find the fourth derivative…

Q: X- 3 For the function f(x) = X-6' find f'''(x), the third derivative of f, and f(4) (x), the fourth…

A: We have the function Now we will find the derivative using quotient rule QUOTIENT RULE Now find…

Q: EVALUATING FUNCTIONS Evaluate the function f(x) given value of x. for the 1 + 3e

A: To Determine: Evaluate the function:                                    Find the f(-1)

Q: 3. 1 Graph of f" The graph of f", the second derivative of the function f, is shown above. Which of…

A: The graph of f" seems to be the graph of x2-1.5 Although f"(x), can be integrated two times to get…

Q: Question Find the derivative of f(x) = (-2x + 3x2) In (x). Provide your answer below: f'(x) = %3D

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Q: Finding inverse function of f(x)=4-x² ; x>0

A: fx=4-x2 ; x>0 Let fx=y ⇒y=4-x2⇒x2=4-y⇒x=4-y              1

Q: Higher-order derivatives Find ƒ′(x), ƒ″(x), and ƒ‴(x) for thefollowing functions. ƒ(x) = 3x3 + 5x2 +…

A: the given function is: f(x)=3x3+5x2+6x we have to find f'(x), f''(x) and f'''(x).

Q: 7. The function f(x) = x+7 is one-to-one. a. Find an equation for f (x), the inverse function. b.…

A: Given function : F(x) = x+7 We have to calculate inverse of function and proof for one to one…

Q: g(x) = V1 – x g'(x) = State the domain of the function. (Enter your answer using interval notation.)…

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Q: (4) = 5, find f-(5). call function notation and the definition of an inverse function. What is the…

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Q: f(x) = (6 – x) | g'(x) and h'(x). ) = the Product Rule to find the derivative of f(x). II

A: Topic:- derivatives

Q: 3. It is a fact that if you take a tube and fill it with liquid, the liquid will rise and fall based…

A: Given a function h(T) where h is the height of the liquid in cmand T is the temperature in °F

Q: A function h(x) is defined in terms of a differentiable function f(x). Find an expression for h'(x).…

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Q: (a) Find the domain of the functions f(x) = /(1 – x)(x – 3) and g(x) = ln(x – 2)(5 – x). Also…

A: We have given functions;

Q: Composition and Inverses of Functions Suppose f(x) following. = 2x, g(x) = 3x - 2, and h(x) = x² –…

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Q: y = (x + 2)

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Q: 3 If f(2) - 8, and f'(2) 4 - 1 Let f'(x) be the inverse function of f(x). (f-1)'( - 8) = - 1 Write…

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Q: 1) Find the value of composition of functions. Given f(x )= 2x + 1 and g(x) = X - 5 Find f(g(2)) %3D

A: Given :f(x)=2x+1g(x)=x-5

Q: f(x) = √x −ln(x). Restrict the domain of f(x) such that it is one-to-one, and then sketch the…

A: Domain of  x-lnx :  Solution:  x>0  Interval Notation: 0, ∞  The inverse of the function is not…

Q: Find the first and second derivatives of the function. (Simplify your answer completely.) 9. f(x) =…

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Q: Compare and contrast the characteristics of functions g(x) and h(x)

A: we can see that the figure g(x) and h(x) are both vertical parabolas and we have to compare these…

Q: f(x) | f'(x) || g(x) | g'(x) -1 -7 16 -4 4 -2 1 -1 8 -1 10 11 Assume that f(x) and g(x) are…

A: Topic:- function and it's Derivatives

Q: a) Sketch the graph of the function f (x) = {2x – 3 if æ 2 then evaluate lim f(x), lim f(x) at a =…

A: Consider the given: Hello. Since your question has multiple sub-parts, we will solve first three…

Q: 1800 function Find the derivative of the following x3 F(x) = = 1²12²₁ = X5 (2t - 1)³ dt using the…

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Q: A 1. Determine algebraically the values of x for which the derivative equals zero. a) f'(x)= 21 + 7x

A: To find the value of of x where derivative equal to zero, we first make the derivative equal to zero…

Q: consider the following about a function f(x). the derivation f(x) is positive from(-1,0) and…

A: We need to draw graph of f(x)

Q: II. Derivatives 3) Find the derivative of f(x) = 4eVxº-2 . (Remember to use your exponential…

A: Using chain rule of derivatives.

Q: Derivatives of Algebraic Functions Directions: Prove the following statements. 13x + 20x* 2Vx3 +2…

A: Using the product rule of derivative, it can be written that: f·g'=f '·g+f·g'.

Q: 2. Finding inverse functions of f(x) and g(x) Technique for finding the inverse of a function. f(«)…

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Q: f(x) = −3(x − 2)(x + 1)(x + 2). Graph the function.

A: Given,  f(x) = −3(x − 2)(x + 1)(x + 2)  We have to graph the function.

Q: x2-3 b) By use derivative sketch the function f(x) x-2

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Q: X-1 For the function f(x)= find f"(x), the third derivative of f, and f)(x), the fourth derivative…

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