Can anyone help with determining whether two functions are inverses of each other?

For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then determine whether f and g are inverses of each other:
Simplify as much as possible. Assume expressions are defined for all x in the domain of the composition, no need to indicate the domain. Can anyone tell me what goes on the blank lines?

1st. Eq. f(x) = 1/4x, x ≠ 0 2nd Eq. f(x) = x + 3

g(x) = -1/4x, x ≠ 0 g(x) = x -3
f(g(x)) = ______ f(g(x)) = _____
g(f(x)) = ______ g(f(x)) = ______

Question

Can anyone help with determining whether two functions are inverses of each other?

For each pair of functions f and g below, find f(g(x)) and g(f(x)). Then determine whether f and g are inverses of each other:
Simplify as much as possible. Assume expressions are defined for all x in the domain of the composition, no need to indicate the domain.  Can anyone tell me what goes on the blank lines?
	
1st. Eq.  f(x) = 1/4x, x ≠ 0	2nd Eq.  f(x) = x + 3		

g(x) = -1/4x, x ≠ 0  		g(x) = x -3
f(g(x)) = ______ 			f(g(x)) = _____
g(f(x)) =  ______ 			g(f(x)) = ______

hero · Answer

Hang on a sec

hero · Answer

Two functions are inverses of each other if the composition of both equals x

hero · Answer

If it equals anything other than x, then the functions are not inverses of each other.

anonymous · Answer

Ok, so in my equations what does f(g(x) equal to?

anonymous · Answer

do you still need help with this?

anonymous · Answer

I am still trying to transform my line for some reason the math lab will only let me add one point from where the line starts, so I marked a point at -3