1
Inverse Functions- HW Problems
Show that 𝑓(𝑥) and 𝑔(𝑥) are inverse functions.
2−𝑥
1. 𝑓(𝑥) = 2 − 3𝑥, 𝑔(𝑥 ) =
3
2. 𝑓(𝑥 ) = √𝑥 − 9, 𝑔(𝑥 ) = 𝑥 2 + 9, 𝑥 ≥ 9.
Sketch a rough graph of 𝑓 −1 (𝑥) given the graph of 𝑓(𝑥) below.
3.
𝑦 = 2𝑥 + 2
2
−2 −1 0 1 2
4.
𝑦 = 𝑒𝑥
1
−2 −1 0 1 2
Inverse Functions- HW Problems
Show that 𝑓(𝑥) and 𝑔(𝑥) are inverse functions.
2−𝑥
1. 𝑓(𝑥) = 2 − 3𝑥, 𝑔(𝑥 ) =
3
2. 𝑓(𝑥 ) = √𝑥 − 9, 𝑔(𝑥 ) = 𝑥 2 + 9, 𝑥 ≥ 9.
Sketch a rough graph of 𝑓 −1 (𝑥) given the graph of 𝑓(𝑥) below.
3.
𝑦 = 2𝑥 + 2
2
−2 −1 0 1 2
4.
𝑦 = 𝑒𝑥
1
−2 −1 0 1 2
