1. ## algebra and trigonometry with analytic geometry problem

Given f(x)=5x+7 and g(x)=x^2+7, find (g 0 f)(x). I think it is (g 0 f)(x) = (5x)^2+14, gut not sue thanks for any help given.

2. Originally Posted by kwtolley
Given f(x)=5x+7 and g(x)=x^2+7, find (g 0 f)(x). I think it is (g 0 f)(x) = (5x)^2+14, gut not sue thanks for any help given.
$\displaystyle (g \circ f)(x)=g(f(x))=g(5x+7)=(5x+7)^2+7$

RonL

so 5x^2+7 is the answer. thanks again.

4. Originally Posted by kwtolley
so 5x^2+7 is the answer. thanks again.
No.

$\displaystyle (g \circ f)(x)=g(f(x))=g(5x+7)=(5x+7)^2+7$$\displaystyle =25x^2+70x+56$

RonL

5. Originally Posted by kwtolley
so 5x^2+7 is the answer. thanks again.
kwtolley, just a thought. You seem to know the method to do these problems, but you are consistently getting them wrong due to minor errors. My thought it that you are simply trying to do them too fast. If you are not doing so already I would suggest you write down each step of the problem as you are doing it.

-Dan