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Operations on Functions

GRE-0BHMLV

If $f(x)=3x+2$ and$ g(x)=5x-3$, which of the following are true? Select ALL that apply.

A

$(f+g)(x)=8x-1$

B

$(f-g)(x)=-2x-1$

C

$(f\cdot g)(x)=15{ x }^{ 2 }-6$

D

$(\cfrac { f }{ g } )(x)=\cfrac { 3x+2 }{ 5x-3 } $

E

$(f\circ g)(x)=15x-7$