Question

Help please thank you!

Answer 1

Answer:

g(f(x)) = x

Yes, the functions are inverses.

Step-by-step explanation:

Hi there!

We're given:

$f(x) = 8x-7$

$g(x)=\displaystyle\frac{x+7}{8}$

To solve for g(f(x)), plug f(x) into g(x) as x:

$g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x$

Because g(f(x)) = x, the two functions are inverses.

I hope this helps!