Question

Determine whether the two functions are inverses.

f(x) = 5x+4 and g(x)=x-4/5

The two functions are inverses.
The two functions are not inverses.

Answer 1

Answer:

The two functions are inverses.

Step-by-step explanation:

We are supposed to find whether the two functions are inverses.

$f(x)=5x+4$

$g(x)=\frac{x-4}{5}$

To find the inverse of f(x)

y = 5x+4

y-4=5x

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

Replace x with y and y with x

So, $\frac{x-4}{5}=y$

So, $\frac{x-4}{5}=g(x)$

So,The two functions are inverses.