Question

Composition of Functions~ For the functions f(x)=3x+1 and g(x)=x^2=4x Find each of the following:
(g o f)(-2)
(f o g)(4)
(g o f)(x)
(f o g)(x)

Answer 1

Composition of functions::
Let f:R-R
and g:R->R
then gof :R->R defined as (gof)(x)=g(f(x))

Answer 2

I almost forgot about this notation!

Anyways, (g o f)(-2) really means g(f(-2)). So let's go from the inside out.

f(-2) = 3(-2) + 1
f(-2) = whatever

Then find g(whatever)

Answer 3

Please redefine your function g(x)

Answer 4

is it x^2 -4x?

Answer 5

g(x)=x^2+4x..... sorry