If f(x) = 3x - 9 and g(x) = -2x + 2, find (f o g)(x)

Question

I'm in need of help and have a little confusion when it comes to this subject

Answer 1

f(x) = 3x-9

g(x) = -2x + 2

 

Since f(x) = 3x-9 then what that means is that whatever

I put in the parenthesis f(__) is multiplied by 3 and then

9 is subtracted from the product.

 

(fog)(x) = f(-2x+2)

= 3(-2x+2)-9

= -6x + 6 - 9

= -6x -3

 

Personally I prefer the form f(g(x)) over (fog)(x).  To me,

f(g(x)) immediately says "f of g of x"...