Algebra 2

Algebra 2

Homework: Inverses and piecewise functions

#1-3: Find the inverse of each function:

1. 𝑔(𝑥) = 7𝑥 + 1 2. ℎ(𝑥) = √𝑥 + 3

3. 𝑓(𝑥) = 5

𝑥−4 4. If ℎ(𝑥) = {

3𝑥 − 2, 𝑥 ≤ 1 𝑥 + 2, 𝑥 > 1

evaluate:

ℎ(1) ℎ(−3) ℎ(4)

Graph the piecewise functions.

5. 𝑓(𝑥) = { −2𝑥 − 1, 𝑥 ≤ 2 −𝑥 + 4, 𝑥 > 2

6. ℎ(𝑥) = { 5, 𝑥 ≤ −3

−2𝑥 − 3, − 3 < 𝑥 < 1 𝑥 − 6, 𝑥 ≥ 1