Question

If f(x)=25-x^2 and g(x)=x+5, what is (f/g)(x)? Write your answer in the simplest form.

Answer 1

F(x) = -x² + 25
g(x) = x + 5

(f ÷ g)(x) = ⁻ˣ²⁺²⁵/ₓ₊₅
(f ÷ g)(x) = ⁻¹⁽ˣ⁺⁵⁾⁽ˣ⁻⁵⁾/ₓ₊₅
(f ÷ g)(x) = -x + 5

Answer 2

F(x) = 25-x^2 
g(x) =x+5

(25-x^2)/(x+5)
Factor the 25-x^2
(-x+5)(x+5)/(x+5)
The (x+5)s are common therefore cross out leaving you with (f/g)(x)= -x+5