Question

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

Answer 1

Answer:

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

Step-by-step explanation:

$f(x) = -5x-4$

Replace y = f(x)

$y = -5x-4$

Exchange values of x and y

$x = -5y -4$

Solve for y

$x = -5y - 4$

Adding 4 to both sides

$x + 4 = -5y$

Dividing both sides by -5

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

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

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

Answer 2

Answer:

The inverse is -1/5x -4/5

Step-by-step explanation:

f(x) = -5x-4

y = -5x-4

Exchange x and y

x = -5y -4

Solve for y

Add 4 to each side

x+4 = -5y

Divide by -5

-1/5x -4/5 = -5y/-5

-1/5x -4/5 = y

The inverse is -1/5x -4/5