Question

Find (g/f) (x), if f(x) = x2 – 9 and g(x) = x + 3.

Answer 1

$\frac{g(x)}{f(x)} = \frac{ x + 3}{ {x}^{2} - 9} = \frac{x + 3}{(x + 3)(x - 3)} = \frac{1}{x - 3}$

I used the equation a²-b² = (a+b)(a-b)

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