Find g(f(x)) f(x)=4x-9 , g(x)=7x-3

$f (x) = 4 x - 9$ , $g (x) = 7 x - 3$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (4 x - 9)$ by substituting in the value of $f$ into $g$ .

$g (4 x - 9) = 7 (4 x - 9) - 3$

Step 3

Simplify each term.

Apply the distributive property.

$g (4 x - 9) = 7 (4 x) + 7 \cdot - 9 - 3$

Multiply $4$ by $7$ .

$g (4 x - 9) = 28 x + 7 \cdot - 9 - 3$

Multiply $7$ by $- 9$ .

$g (4 x - 9) = 28 x - 63 - 3$

Step 4

Subtract $3$ from $- 63$ .

$g (4 x - 9) = 28 x - 66$