AP® Precalculus: Inverse Functions — Drill 1

About This Drill

AP® Precalculus: Inverse Functions — Drill 1 is a Math practice drill covering inverse-functions. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

Master inverse functions for the AP® Precalculus exam with these five targeted practice questions. Topics include reading inverse values from tables, finding inverse formulas algebraically, verifying inverses by composition, interpreting inverses in real-world contexts, and identifying inverses on restricted domains.

Questions in This Drill

1. The table below gives selected values of a one-to-one function h.
   
   

   x	−2	0	3	5
   h(x)	7	1	−4	0

   
   What is the value of h⁻¹(1)?
2. If f(x) = \(\dfrac{2x + 6}{3}\), which of the following defines f⁻¹(x)?
3. Which of the following best justifies that f(x) = 3x − 5 and g(x) = \(\dfrac{x+5}{3}\) are inverse functions?
4. A rideshare app calculates the fare F (in dollars) for a trip of d miles using F(d) = 1.5d + 2.50. A driver wants to determine the trip distance d from a given fare F. Which of the following correctly expresses d as a function of F?
5. The function f(x) = x² − 4 does not have an inverse on its natural domain. If the domain of f is restricted to x ≥ 0, which of the following defines f⁻¹(x) and states its domain correctly?