Determine the composite function for each of the following

Question

Determine the composite function for each of the following.

Given that $f (x) = 5 x^{2} - 2 x - 4$ , and $g (x) = x + 2$ , find $f (g (x))$ .

$f (g (x)) =$

Given that $f (x) = 5 x^{2} - 2 x - 4$ , and $g (x) = x + h$ , find $f (g (x))$ .

$f (g (x)) =$

Evaluate $f (x + h)$ given that $f (x) = 5 x^{2} - 2 x - 4$ .

$f (x + h) =$

Patrick B. · Accepted Answer

5(x+2)^2 -2(x+2)-4 =5(x^2+4x+4) -2(x+2) -4 =5x^2 + 20x + 20 -2x -4-4 =5x^2 + 18x + 12

1 Expert Answer