This preview shows page 1. Sign up to view the full content.
Unformatted text preview: Inverse Power Function Find the inverse function of the function f(x)
f(x) 1) 1
3 1 x Example 3 1(3x f 12
x , x ≤ 0.
4 Write original function. y 12
4 Replace f(x) with y. x 12
4 Switch x and y. y2 Multiply each side by 4 . y Take square roots of each side. 4x
2x Because the domain of f is restricted
to nonpositive values, the inverse
function is f 1(x)
2 x . (You
1(x) 2 x if the
would choose f
domain had been restricted to x ≥ 0.)
Check To check your work, graph f
f (x ) 4x x≤0
1 3 1 f 1(x...
View Full Document
This document was uploaded on 03/12/2014 for the course ALGEBRA RMHS Algeb at Richard Montgomery High.
- Winter '14