jennakpridmore jennakpridmore

25-08-2021
Mathematics

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Given f(x) = 3x2 − 48 and g(x) = x − 4, identify (f/g)(x).
a. 3x + 12, x ≠ 4
b. 3x − 12, x ≠ 4
c. x − 4, x ≠ 4
d. x + 4, x ≠ 4

Respuesta :

ghaithgh ghaithgh

25-08-2021

The choose a. 3x+12

[tex]( \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[/tex]

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