Find g(f(x)) f(x)=9x-7 , g(x)=7x-6

$f (x) = 9 x - 7$ , $g (x) = 7 x - 6$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (9 x - 7)$ by substituting in the value of $f$ into $g$ .

$g (9 x - 7) = 7 (9 x - 7) - 6$

Step 3

Simplify each term.

Apply the distributive property.

$g (9 x - 7) = 7 (9 x) + 7 \cdot - 7 - 6$

Multiply $9$ by $7$ .

$g (9 x - 7) = 63 x + 7 \cdot - 7 - 6$

Multiply $7$ by $- 7$ .

$g (9 x - 7) = 63 x - 49 - 6$

Step 4

Subtract $6$ from $- 49$ .

$g (9 x - 7) = 63 x - 55$