Find g(f(x)) f(x)=2+8 g(x)=4+12x-7

$f (x) = 2 + 8$ $g (x) = 4 + 12 x - 7$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (2 + 8)$ by substituting in the value of $f$ into $g$ .

$g (2 + 8) = 4 + 12 (2 + 8) - 7$

Step 3

Simplify each term.

Add $2$ and $8$ .

$g (2 + 8) = 4 + 12 \cdot 10 - 7$

Multiply $12$ by $10$ .

$g (2 + 8) = 4 + 120 - 7$

Step 4

Simplify by adding and subtracting.

Add $4$ and $120$ .

$g (2 + 8) = 124 - 7$

Subtract $7$ from $124$ .

$g (2 + 8) = 117$