### Home > PC > Chapter 1 > Lesson 1.1.4 > Problem1-52

1-52.
1. Given f(x) = 2x + 5, g(x) = x2 − 1, and h(x) = , find: Homework Help ✎

1. f(g(−2))

2. g(f(h(2)))

3. f −1(x)

4. f(g(h(x)))

Evaluate g(−2) first. Then substitute that value in the f function.

$g(f(h(2)))= g(\sqrt{2 + 2})$

$=g(f(2))$

$=g(2(2) + 5)$

$= g(9)$

1. Switch the x and y's
2. Solve for y.

Follow a similar process as shown in part (b).