SOLUTION: What is the difference between (fg)(x) and (f ◦ g)(x)?

SOLUTION: What is the difference between (fg)(x) and (f ◦ g)(x)?

Algebra.Com

Question 386595: What is the difference between (fg)(x) and (f ◦ g)(x)?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
I think one is a composition where you substitute for .
The other is an actual multiplication of two functions.

So if and
Then

and

RELATED QUESTIONS
Given that f(x)=|x| and g(x)=2x-4, calculate f◦g(x)= g◦f(x)= f◦f(x)= (answered by Edwin McCravy)

3.14 Given f(x)=x-4 and g(x)=4x^2, find f+g, f-g, fg, and f/g. Determine the domain... (answered by ikleyn)

Find (f ◦ g)(-1), (g ◦ f)(-1), (f ◦ g)(x), and (g ◦ f)(x) where... (answered by nyc_function)

f(x)=-6x-1 and g(x)- 4x^2 what is the solution for... (answered by josgarithmetic)

I kind of understand how to do these f◦g and g◦f problems, but I dont know... (answered by stanbon)

Please help with the following: 1. Is the graph of f(x) = x^1171−5x^109 +3... (answered by stanbon)

3.14 Given that f(x)=2x+7 and g(x)=5x^2, find f+g, f-g, fg, and f/g. Determine the... (answered by nerdybill)

Consider f(x) = sqrt(4x^2 + 1 ) and g(x) = x + 3 /x^2 . Find the composite functions f... (answered by solver91311)

What is (fg)(2) given f(x) = 3x^2 - x and g(x) = x -... (answered by Cromlix)