Question

Given f(x) = 3x2 − 48 and g(x) = x − 4, identify (f/g)(x).

Answer 1

The choose a. 3x+12

$( \frac{f}{g} )(x) = \frac{3 {x}^{2} - 48 }{x - 4} = \frac{3( {x}^{2} - 16) }{x - 4} \\ \\ = \frac{3(x - 4)(x + 4)}{x -4} \\ \\ = 3(x + 4) \\ = 3x + 12$

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