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.

Question

asked Aug 26, 2021 123k views

1 Answer

Xnyhps · Answer 1 · 2021-08-30T03:22:09+0000

Answer:

The two functions are inverses.

Explanation:

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

f(x)=5x+4

g(x)=(x-4)/(5)

To find the inverse of f(x)

y = 5x+4

y-4=5x

(y-4)/(5)=x

Replace x with y and y with x

So,
(x-4)/(5)=y

So,
(x-4)/(5)=g(x)

So,The two functions are inverses.