Find g(f(x)) f(x)=14x^2-10x , g(x)=7x-8

$f (x) = 14 x^{2} - 10 x$ , $g (x) = 7 x - 8$

Step 1

Set up the composite result function.

$g (f (x))$

Step 2

Evaluate $g (14 x^{2} - 10 x)$ by substituting in the value of $f$ into $g$ .

$g (14 x^{2} - 10 x) = 7 (14 x^{2} - 10 x) - 8$

Step 3

Simplify each term.

Apply the distributive property.

$g (14 x^{2} - 10 x) = 7 (14 x^{2}) + 7 (- 10 x) - 8$

Multiply $14$ by $7$ .

$g (14 x^{2} - 10 x) = 98 x^{2} + 7 (- 10 x) - 8$

Multiply $- 10$ by $7$ .

$g (14 x^{2} - 10 x) = 98 x^{2} - 70 x - 8$