### Home > CCA2 > Chapter 8 > Lesson 8.1.1 > Problem 8-12

A table can be used as a useful tool for finding some inverse functions. When the function has only one *x* in it, the function can be described with a sequence of operations, each applied to the previous result. Consider the following table for

1 | 2 | 3 | 4 | |

What | subtracts | multiplies by | adds |

Since the inverse must undo these operations, in the opposite order, the table for would look like the one below.

1 | 2 | 3 | 4 | |

What : | subtracts | divides by | adds |

Copy and complete the following table for

. 1

^{st}2

^{nd}3

^{rd}4

^{th}What

*g*does to*x*:adds

divides by

subtracts

What

*g*^{−1}does to*x*:1st: adds 2

2nd: multiplies by 3

4th: subtracts 1Write the equations for

.What is the correct domain for this inverse function?