Question

Given f (x) = x^2 + 7x and g(x) = 9 - x^2 find f/g (x)

Answer 1

(f/g)(x) = -(x²+7x)/(x²-9)

Explanation:

Given f(x) = x^2 +7x and g(x) = 9 -x^2, you want f/g(x).

Substitution

The rational function (f/g)(x) is ...

`(f/g)(x)=(f(x))/(g(x))=(x^2+7x)/(9-x^2)\\\\\\\boxed{(f/g)(x)=-(x^2+7x)/(x^2-9)}`

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Additional comment

We simply use the values of f(x) and g(x) in the desired ratio. No simplification is possible.