Question

If f(x) = 5x − 3, which expression represents its inverse function?

Answer 1

Answer:

$f ^{-1}(x)=\frac{x+3}{5}$

Step-by-step explanation:

To find the inverse of a function f (x) follow the steps below:

1) Make y = f (x)

$y= 5x - 3$

2) Solve for the variable x

$y+3= 5x - 3+3$

$y+3= 5x$

$x=\frac{y+3}{5}$

3) Exchange the variable x with the variable y

$y=\frac{x+3}{5}$

4) Make $y = f ^{-1}(x)$

$f ^{-1}(x)=\frac{x+3}{5}$

Finally, the inverse of the function f (x) is: $f ^{-1}(x)=\frac{x+3}{5}$