For the function f, use composition of functions to show that f-1 is as given.,  

What will be an ideal response?


Answers may vary. One possible solution is:
1. (f-1 ? f)(x) = f-1(f(x)) = f-1 =  =   = x;
2. (f ? f-1)(x) = f(f-1(x)) = f = 3 - 5 = x + 5 - 5 = x

Mathematics

You might also like to view...

Determine whether the indicated ordered pair lies on the graph of the given equation.y =  - 4, (9, -1)

A. Yes B. No

Mathematics

Find the x- and y-intercepts of f.f(x) = -x2(x + 2)(x2 + 1)

A. x-intercepts: -2, -1, 0, 1; y-intercept: 0 B. x-intercepts: -2, -1, 0; y-intercept: 2 C. x-intercepts: -2, 0; y-intercept: 0 D. x-intercepts: -2, -1, 0; y-intercept: -2

Mathematics

Evaluate -x for the given value of x.x = 2.936

A. 2.936 B. -2.936 C. -3 D. -2

Mathematics

Find the missing number. = 14

A. 28 B. 16 C. 392 D. 196

Mathematics