Math III · F-BF.4.a

Find inverse functions for simple invertible functions, including rational examples.

Find inverse functions for simple invertible functions, including rational examples.

Concept Functions

Domain Building Functions

Problem Types

Problem Templates In This Objective

14 problem types are attached to this objective. The full web app handles practice, answers, hints, and walkthroughs.

Template 1

Find an inverse function by swapping x and y and solving a linear equation

4 variants

Template 2

Find the inverse of a restricted quadratic by swapping x and y

4 variants

Template 3

Find an inverse function by swapping x and y and solving a square root equation

4 variants

Template 4

Find the inverse of a cube-root function by swapping x and y and solving

4 variants

Template 5

Find an inverse function by swapping x and y and solving a rational equation

4 variants

Template 6

Find an inverse function by swapping x and y and solving an exponential equation

4 variants

Template 7

Find the inverse of a logarithmic function by swapping x and y

4 variants

Template 8

Verify that two functions are inverse functions using composition

4 variants

Template 9

Decide one-to-one status from fixed evidence

4 variants

Template 10

Restrict to monotonic branches and write both inverses

4 variants

Template 11

Interpret inverse input and output quantities with units

4 variants

Template 12

Reflect inverse points and graph features across y=x

4 variants

Template 13

Exchange domain and range in four explicit inverse fields

4 variants

Template 14

Match inverse formulas to reflected graph features

4 variants