Question

 PLEASE HELPPPPP ME PLEASE I DONT KNOW WHAT TO DO ☹️#7

Answer 1

Given:

The function is:

`f(x)=-2x+5`

To find:

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

Solution:

We have,

`f(x)=-2x+5`

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

`y=-2x+5`

Step 2: Interchange x and y.

`x=-2y+5`

Step 3: Isolate variable y.

`2y=5-x`

`y=(5-x)/(2)`

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

`g(x)=(5-x)/(2)`

Hence, the inverse of the given function is
`g(x)=(5-x)/(2)` and the graphs of these functions are shown below.