For the function f, use composition of functions to show that f-1 is as given.
, 
What will be an ideal response?
1. (f-1 ? f)(x) = f-1(f(x)) = f-1
= 
= x;
2. (f ? f-1)(x) = f(f-1(x)) = f
= 
= x
Mathematics
You might also like to view...
Solve the problem.Let f(x) = 
. Find a function y = g(x) so that (f ? g)(x) = 
.
A. g(x) = x2 + 6 B. g(x) = 2x C. g(x) = x2 D. g(x) = x2 - 6
Mathematics
Solve the problem.A water trough has a semicircular cross section with a radius of 0.5 m and a length of 6 m (see figure). How much work is required to pump water out of the trough when it is full? Round to two decimal places when appropriate.
A. 29,400 J B. 2450 J C. 4900 J D. 86,975? J
Mathematics
Solve the equation.10y = 7y + 7 + 2y
A. 70 B. 7 C. -70 D. -7
Mathematics
Solve the quadratic equation.(p - 3)2 = 17
A. 
- 
B. 3 ± 
C. ± 
- 3
D. No real solutions
Mathematics