Find g(f(x)) f(x)=2-9x , g(x)=-7x+9

$f (x) = 2 - 9 x$ , $g (x) = - 7 x + 9$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (2 - 9 x)$ by substituting in the value of $f$ into $g$ .

$g (2 - 9 x) = - 7 (2 - 9 x) + 9$

Step 3

Simplify each term.

Apply the distributive property.

$g (2 - 9 x) = - 7 \cdot 2 - 7 (- 9 x) + 9$

Multiply $- 7$ by $2$ .

$g (2 - 9 x) = - 14 - 7 (- 9 x) + 9$

Multiply $- 9$ by $- 7$ .

$g (2 - 9 x) = - 14 + 63 x + 9$

Step 4

Add $- 14$ and $9$ .

$g (2 - 9 x) = 63 x - 5$