(a) Find the inverse function of f(x) f-1(x) = бх — 4. Preview (b) The graphs of f and f- are symmetric with respect to the line defined by y = Preview

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A: Inverse function theorem  If f is invertible function then f-1x'=  1f'f-1x

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Q: | find the Purpose of the function 十1→×>! O fn. 3メ- ,Xく! Xく1 2 f(め 2

A: Function, in mathematics, an expression, rule, or law that defines a relationship between one…

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A: Given: fx=-2sinπ2x-1

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A: As we know that; The equation of the tangent line is: y-y0=mx-x0 Where m is the slope of the tangent…

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A: Given: - The function h(x)=1x+7 can be expressed in the form f(g(x)),where g(x)=x+7 To find: - The…

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A: The equation of the line tangent at to the graph of g at x=1 is given by: y-g(1)=g'(1)(x-1)...(1)

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A: Since you have asked multiple questions:, we will solve the first question for you. If you want any…

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Q: 9. What is the inverse of f(x) where x + -2? %3D x + 2 Consider the end behavior description below.…

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Q: 1. Consider the function f(x) = -x² – 4x – 3 a) Determine f(-4), f(a), and f(a+ h).

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A: From the given data, we can write h(x) = f(g(x))

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A: Given query is to match the graph of function to its derivative.

Q: 20.) Find the linearization, L(x) ,of f(x)=x*+3x² values of f(x) when x=-1 , x=-1.1, x=-1.5 , and…

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A: Please refer to the image below

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A: A composite function is created when one function is substituted into another function .

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Q: The figure above shows the graph of f′ , the derivative of function f, for −6<x<8 . Of the…

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A: g(x) = ∫1xf(t)dt From given information g'(x)  = f(x) g''(x) = f''(x)

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A: Graph of inverse function is

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A: We will use of chain rule

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A: topic - linearization of a function

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A: We have given

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Q: 1 The function h(x) : can be expressed in the form f(g(x)), where g(x) = (x – 9), and f(x) is %3D x…

A: NOTE: Refresh your page if you can't see any equations. . but here

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Q: 5. Let f(x) = x* + 3x – 2, and let g(x) denote the inverse of f. Then g'(2) is equal to:

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Q: Consider the following function. f(x) = x³(x - 8) (a) Make a sign diagram for the first derivative.…

A: Given f(x)=x3(x-8) ⇒f(x)=x4-8x⇒f'(x)=4x3-8            =4(x3-2)            =4(x-23)(x2+23x+223)

Q: 12. Find inverse function of the following function: f :R→ R* i. defined by f(x) = e* 4x+1 f: R → R…

A: Solve for x, for finding value of inverse function.

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Q: Sketch a graph of the function f(x) 1.5 sin(2x). | 4 -7/8 -3714 -5/8 -12 -3718 -14 -/8 T18 Td4 3/8…

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