Lesson: Graphs of Inverses of Functions

In this lesson, we will learn how to use a graph to find the inverse of a function and analyze the graphs for the inverse of a function.

Sample Question Videos

  • 01:21

Worksheet: 11 Questions • 1 Video

Q1:

The following is the graph of 𝑓(π‘₯)=2π‘₯βˆ’1.

Which one is the graph of the inverse function 𝑓(π‘₯)?

Q2:

Liam is looking for an inverse to 𝑓(π‘₯)=βˆ’2βˆ’(π‘₯βˆ’4). He starts with the parabola 𝑦=βˆ’2βˆ’(π‘₯βˆ’4). He then reflects this in the line 𝑦=π‘₯ to get the shown parabola π‘₯=βˆ’2βˆ’(π‘¦βˆ’4).

Complete Liam’s work by determining the inverse π‘“οŠ±οŠ§ whose graph is the given solid curve.

Q3:

Find an expression for the inverse function π‘“οŠ±οŠ§ when 𝑓 is restricted to the interval π‘₯β‰₯13.

What is the domain of π‘“οŠ±οŠ§ in this case?
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