Question

help me please. thanks

Given f(x) = x + 2 and g(x) = x^2 – 4, find the function (g/f)(x).

Answer 1

algebra 2?

Answer 2

yes

Answer 3

Never done a divison composite function...shouldn't be hard though..give me a few minutes.

Answer 4

I'm pretty sure what that means is to put f(x) into g(x) (replace x values, then divide the result as g(x)/f(x)

Answer 5

\[g(x)=x^2-4\]
\[f(x)=x+2\]
\[(x+2)^2-4=x^2+4x\]

Answer 6

that should of (g o f)x

Answer 7

\[\frac{ x^2+4x }{ x+2 }=\frac{ x(x+4) }{ x+2 }\]

Answer 8

that i believe is (g/f)(x)..

Answer 9

@Sadworld

Answer 10

\[\Large (g/f)(x) = \frac{g(x)}{f(x)}\]
\[\Large (g/f)(x) = \frac{x^2-4}{x+2}\]
\[\Large (g/f)(x) = \frac{x^2-2^2}{x+2}\]
\[\Large (g/f)(x) = \frac{(x-2)(x+2)}{x+2}\]
I'm sure you see what to do from here

Answer 11

ooh

Answer 12

thank you both (: