The one-to-one functions g and h are defined as follows. g(x)=2x+13 h= (-5,4),(-1,1),(0,3),(3,-4) Find the following. g^-1(x)= square (g^-1cdot g)(-8)= square h^-1(3)= square

Question

Answer 1

## Step 1: Find the inverse of

### To find the inverse of

, swap

and

, then solve for

. Start with

, rewrite as

, and isolate

:

Thus,

.## Step 2: Evaluate

### Substitute

into

first:

Then substitute

into

:

Thus,

.## Step 3: Find

### The inverse of

swaps the input and output values. From

, the inverse is:

Find

by locating where

is the input in

:

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