11. Let f(x) = x³ - 2x² + x-1 so f(1) = -1 and f(2)= 1. Let g be the X inverse of f; that is, g(x) = f(x) for all x. Then, g'(1) =

Q: Let f and g be functions such that f(0) = 18, f '(0) = 3, f(18) = 11, f '(18) = - 5 and g(11) = -…

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Q: 1 if g is the inverse of function f and f(x) = 1+x? prove that g'(x)=1+{g(x)}"

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Q: Which of the following Functions are inverses to each other: Vx+8 A- f(x) = (4x – 3), g(x) = 7. B-…

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Q: Find the inverse of f(x) = (x - 1)/(x + 1).

A: Given function:

Q: Let f(x) = (ax − 1) / ( ax + 1) for a > 0, a ≠ 1. Show that f has an inverse function. Then find…

A: For a function to have a inverse , it has to be one to one function. This means that for every input…

Q: Let ƒ (x) = x³ – 5x² – 8 and let g be the inverse of f (i.e. g (x) = f -1 (x).

A:

Q: Let f(x) = 3x + 1, x, = -1, x, = 0, x3 = 1, x4 = 2, and X5 = 3. Find E f(x,).

A: we have the given the following details   f(x)=3x+1x1=-1x2=0x3=1x4=2x5=3We have to find∑i=15f(xi)

Q: 3. Two functions are inverses when f(g(x)) = Determine if f(x) = In(x - 5) your work and explain…

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Q: 3. Consider the two inverses you found above (or any function and its inverse). What is f(f-'(2))?.

A: let f(x) be any function and  the inverse of the function  f(x) is f-1(x). we know that f(x) and…

Q: Find the inverse function of f (x) = mx + b. Give one example with specific values of m and b so…

A: Inverse of function

Q: Show that the function f(x) =r³ – x² + 1, x > has an inverse. 3 If g is the inverse of f, find…

A: Part a:   In part a function f(x) is given and show that the function has an inverse for x>2/3.…

Q: Select which function f has an inverse g that satisfies g'(1) = Of(x) = 2x³ Of(x) == x³ Of(x) = x³…

A: To find the function  that has an inverse  that satisfies .

Q: If y = g(u) = u2 / (1-2u) and u = h(x) = x +5, determine the composite functions  (a). g(h(x))…

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Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.

Q: Let f(x) = x x+1 g'(x) = X . Calculate g'(x), where g(x) is the inverse of f(x).

A: Let f(x) = x/(x + 1)We have to calculate g'(x) , where g(x) is the inverse of f(x).

Q: 7. Find the inverse of f(x) =D5x + 10.

A: y=f(x) iimplise x=f^(-1) (y) given function Find value of x  then replace y  in x

Q: Let ƒ(x) = x/x - 2. Find a function y = g(x) so that (ƒ ∘ g)(x) = x.

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Q: Suppose g(x) = 3x / 4−x . (a) Give the domain of g. (b) Show that -3 is NOT in the range of g.…

A: given g(x)=3x4-x

Q: raph of the function f(x) = x³ + 2x - 1. So, the point (2,1) lies i (f¹)'(2). (Here f-1 denotes the…

A: Given query is to find indicated function.

Q: Let f(x)= -x-1, h(x) = -x + 5. Find (h of)(2). (hof)(2) =

A: The answer is given below: Topic: Composite Function

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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