Question

Which function is the inverse of f(x) = –5x – 4?

Answer 1

y=-5x-4

x=-5y-4

5y=-x-4

y= -1/5x - 4/5

Answer 2

Answer:

$f^{-1}(x)=-\frac{1}{5}(x+4)$

Step-by-step explanation:

The given function is $f(x)=-5x-4$

Substitute y = f(x)

$y=-5x-4$

Interchange x and y

$x=-5y-4$

Solve for y

$x+4=-5y\\\\y=-\frac{1}{5}(x+4)$

This is nothing but the inverse of the function. Hence,

$f^{-1}(x)=-\frac{1}{5}(x+4)$

The inverse of the function is $f^{-1}(x)=-\frac{1}{5}(x+4)$