How to solve composite functions

Question

If f(x)=3x-5 and g(x)=x^2 find (f o g)(3)

Answer 1

Alright, this can also be written as f(g(3)). I'll show you two ways to do it.

 

First, working from the inside out. 

 

g(3) = 3² = 9

 

f(9) = 3(9) - 5 = 27 - 5 = 22

 

Orrrrrr...

 

f(g(3)) = 3(3²) - 5 = 3(9) - 5 = 27 - 5 = 22

 

Pick which works better for you.