Question

Perform the requested operation or operations. f(x) = x minus five divided by eight.; g(x) = 8x + 5, find g(f(x))

Answer 1

Given:
f(x) = (x - 5)/8
g(x) = 8x + 5

Therefore
$g(f(x))\\=8( \frac{x-5}{8})+5\\=x-5+5\\=x$
This means that g(x) is the inverse of f(x) and vice versa.

Answer: g(f(x)) = x

Answer 2

Answer:

g(f(x))=x.

Step-by-step explanation:

Given :f(x)=$\frac{x-5}{8}$ and g(x)=8x+5.

g(f(x)) = g($\frac{x-5}{8}$) (Substituting f(x) value)

         =$8(\frac{x-5)}{8} +5$ (Replacing x by $\frac{x-5}{8}$)

        =x-5+5 (Simplifying)

         =x.

g(f(x))=x.