Math1650CPQ5-1.pdf

Checkpoint Quiz 5.1

Name:

1. Let f (x) = √

x − 2 and g(x) = x2

x2 − 1 .

(a) Find the domain of f ◦ g and find and simplify a formula for (f ◦ g) (x).

(b) Find the domain of g ◦ f and find and simplify a formula for (g ◦ f ) (x).

2. Write F (x) = √

7x + 5 as a composition of two or more non-identity functions.