Find f(g(x)) f(x)=x-3 , g(x)=2x^2-4

$f (x) = x - 3$ , $g (x) = 2 x^{2} - 4$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

Evaluate $f (2 x^{2} - 4)$ by substituting in the value of $g$ into $f$ .

$f (2 x^{2} - 4) = (2 x^{2} - 4) - 3$

Step 3

Subtract $3$ from $- 4$ .

$f (2 x^{2} - 4) = 2 x^{2} - 7$