Find f(g(x)) f(x)=x-4 g(x)=x^2-10

$f (x) = x - 4$ $g (x) = x^{2} - 10$

Step 1

Set up the composite result function.

$f (g (x))$

Step 2

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

$f (x^{2} - 10) = (x^{2} - 10) - 4$

Step 3

Subtract $4$ from $- 10$ .

$f (x^{2} - 10) = x^{2} - 14$