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