Find f(g(x)) f(x)=2x , g(x)=6x-7

$f (x) = 2 x$ , $g (x) = 6 x - 7$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (6 x - 7)$ by substituting in the value of $g$ into $f$ .

$f (6 x - 7) = 2 (6 x - 7)$

Step 3

Apply the distributive property.

$f (6 x - 7) = 2 (6 x) + 2 \cdot - 7$

Step 4

Multiply.

Multiply $6$ by $2$ .

$f (6 x - 7) = 12 x + 2 \cdot - 7$

Multiply $2$ by $- 7$ .

$f (6 x - 7) = 12 x - 14$