Question

Helpppppp pleaseeeeee !!!!!!!!! !!!!

Answer 1

Given:

The function is:

`f(x)=6x-3`

To find:

The inverse of the given function, then draw the graphs of function and its inverse.

Solution:

We have,

`f(x)=6x-3`

Step 1: Substitute
`f(x)=y`.

`y=6x-3`

Step 2: Interchange x and y.

`x=6y-3`

Step 3: Isolate variable y.

`x+3=6y`

`(x+3)/(6)=y`

Step 4: Substitute
`y=g(x)`.

`(x+3)/(6)=g(x)`

Therefore, the inverse of the given function is
`g(x)=(x+3)/(6)` and the graphs of these functions are shown below.