a) explain why, f(x) = e^(x²-1), is one-to-one on the interval I=(0,infinity). b) give the inverse of f^(-1) on this interval I.

Q: f(x) = x²-6x+5, what is the domain of the inverse of the function  (f^(-1))?

A: f(x)= x2 -6x +5 f(x)= y= (x-3)2-4 Graph of f: f(x)= (x-3)2-4 is an upward parabola having veterc at…

Q: The inverse of the function f(x)=3x−4 is f^−1(x)=

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Q: Let f(x)=x+4/x+8 f^-1(−7)=   the f^-1 just means inverse function

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Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: Find f if f’’(t)=2e^t + 3sin(t), f(0)= -5, f(pi) =-10

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Q: given f(x) --> x^(4/3) find the equation for g, the inverse of f

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Q: Consider the function g∶Z⟶Z defined by g(n)=n^2+1. Find g(1) and g({1}). Then find g^(-1) (1),g^(-1)…

A: According to the given information, Consider the given function defined as:

Q: fx) = (4x² + 3x"²) e*. %3D Do you think that the domain of f'(x) is the same as the domain of f(x)?…

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Q: (0,F) (L.F) (L+ F, 0) (L+F+ LF, 0) 2. The following is the graph of f'(x).

A: From the graph,when 0≤x≤L, f'x=F Therefore, f(x)=∫f'xdx=∫F dx=Fx+cc being an integrating constant…

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: find the inverse of the function. (Enter the domain using interval notation) f(x)=(x+5)^2, xis…

A: Given query is to find the inverse of f(x) and domain of f-1(x)

Q: f(x)=x^3 find f^-1(-8)

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Q: Find the Inverse function of f(z) = 12 + Vr. %3D f-1(m)

A: Solve for the inverse of the function

Q: The domain of a function g(x) is x>=-3, and the range is y>2. What are the domain and range of its…

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Q: Let f(x) = 1- 3x^2. Which of the following is equal to f'(1)? * O -5 6 -6 O 2

A: f(x)= 1-3x2

Q: find the inverse of the function  f(x)=4x^3+8 f^-1(x)=

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Q: Let f(x)=-2x/x-1, find f^-1(x)

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Q: Suppose that f(-4)=3, f'(-4)=0, g(-4)=3, g'(-4) = 4. Use this to compute (f•g)'(-4)

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Q: N = f(t) = 5000exp(-1/12(t-40)^2) is the form for number of infections, where t = 40 is the peak a)…

A: Let's find.

Q: Find the inverse function of f(x) = V5x + 6. f- (x) =

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Q: Let f(x)=9-x f^-1(x)=

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Q: Let f(x)=3x+1/9x+3 Find f^−1(x) (inverse)

A: Inverse of f is calculated by replacing X and y by each other and finding x in terms of y.

Q: y=g(x)=x^(1/2),then what is the inverse function:x=(g^(-1))(y)

A: Let  For the given function, we have to find inverse of function.

Q: Let f(x) be a function which has inverse. If f(-5)=6 then f^-1(6) equals

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Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

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Q: ƒ(x) = 3x - 5 4x+1

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Q: Find the inverse of the function f(x) = – 5x² . f-'(x) = The domain of ƒ-' is

A: Solution:- let f(x)=y