Find g(f(x)) f(x)=7x-2 , g(x)=(x+7)/2

$f (x) = 7 x - 2$ , $g (x) = \frac{x + 7}{2}$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (7 x - 2)$ by substituting in the value of $f$ into $g$ .

$g (7 x - 2) = \frac{(7 x - 2) + 7}{2}$

Step 3

Add $- 2$ and $7$ .

$g (7 x - 2) = \frac{7 x + 5}{2}$