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.

$2y=5-x$

$y=\dfrac{5-x}{2}$

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

$g(x)=\dfrac{5-x}{2}$

Hence, the inverse of the given function is $g(x)=\dfrac{5-x}{2}$ and the graphs of these functions are shown below.