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

Question

Norah Peterson

Mathematics

2 May, 21:21

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

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Answers (2)

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Libby · 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

Randy Kane · 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