Find g(f(x)) f(x)=8x-7 and g(x)=(x+7)/8

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

Set up the composite result function.

$g (f (x))$

Evaluate $g (8 x - 7)$ by substituting in the value of $f$ into $g$ .

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

Simplify the numerator.

Add $- 7$ and $7$ .

$g (8 x - 7) = \frac{8 x + 0}{8}$

Add $8 x$ and $0$ .

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

Cancel the common factor of $8$ .

Cancel the common factor.

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

Divide $x$ by $1$ .

$g (8 x - 7) = x$