Question

If f(x)=25−x2 and g(x)=x+5, what is (fg)(x)? Write your answer in simplest form. When f(x)=25−x2 and g(x)=x+5, (fg)(x)=

Answer 1

(fg)(x) means to multiply the functions f(x) * g(x).
(25 - x^2)(x + 5)
25 * x = 25x
25 * 5 = 125
- x^2 * x = - x^3
- x^2 * 5 = - 5x^2
Putting it all back together:
- x^3 - 5x^2 + 25x + 125