Answer:
The two functions are inverses.
Step-by-step explanation:
We are supposed to find whether the two functions are inverses.
[tex]f(x)=5x+4[/tex]
[tex]g(x)=\frac{x-4}{5}[/tex]
To find the inverse of f(x)
y = 5x+4
y-4=5x
[tex]\frac{y-4}{5}=x[/tex]
Replace x with y and y with x
So, [tex]\frac{x-4}{5}=y[/tex]
So, [tex]\frac{x-4}{5}=g(x)[/tex]
So,The two functions are inverses.
