Using the functions f (x) = 2x + 7, g (x) = x2 - 4, and h (x) = 5x. Find all of the following. Make sure your answer is in simplest form. a. 4h (x) b. f (x) - g (x) c. f (g (x)) d. g (x) h (x) e. g (x) / f (x)

Given

f (x) = 2x+7

g (x) = x^2-4

h (x) = 5x

a. 4h (x)

= 4 * 5x

= 20x

b. f (x) - g (x)

f (x) - g (x) = 2x + 7 - (x^2 - 4)

= 2x+7-x^2+4

=-x^2+2x+7+4

=-x^2+2x+11

c. f (g (x)) = 2 (g (x)) + 7

=2 (x^2-4) + 7

=2x^2-8+7

=2x^2-1

d. g (x) h (x) = (x^2-4) (5x)

= 5x^3 - 20x

e. g (x) / f (x) = x2 - 4 / 2x + 7