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

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

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

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

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

Step 3

Cancel the common factor of $8$ .

Cancel the common factor.

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

Rewrite the expression.

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

Step 4

Combine the opposite terms in $x - 7 + 7$ .

Add $- 7$ and $7$ .

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

Add $x$ and $0$ .

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