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Checkpoint Quiz 1.5

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1. Suppose f is a function that takes a real number x and performs the following steps in the order given:

(1) add 4

(2) take the square root

(3) subtract 5

(4) divide into 10

Find an expression for f (x) and state the domain of f using interval notation.

2. Let f (x) = x2

x − 3 . Find and simplify the following:

(a) f (−1) (b) f (7x) (c) 7f (x) (d) f (x − 1)

3. Let f (x) = {

3x − 1, x ≤ −4 −x2, x > −4

. Find f (−2), f (−4), and f (−5).