Posted by Beth on .
I have to solve an inverse function.
f(x)=x+6 and g(x)=x+6
f(x)=1/4x,x is equal to or not equal to 0
g(x)=1/4x,x is equal to or not equal to 0
Please help me I have been on this one problem for hours and I can't get it. This one question will determine whether or not I pass this course or not.

Algebra  eh? 
Steve,
what is it you have to solve for?
"an inverse function" doesn't help much
f^{ 1}(x)?
g^{ 1}(x)?
(f◦g)^{ 1}(x)?
In the 2nd part, do you mean
f(x) = 1/(4x) or (1/4)x?
and is g the same as f? 
Algebra 
Steve,
if f and g are inverses, f(g(x)) = x
f(x) = x+6
f(g) = g+6 = (x+6)+6 = x+12
so, f and g are not inverses.
Same for the 2nd part.
If f(x) is the same as g(x), they are not inverses unless
f(x) = x
g(x) = x
i think you have some typos in your writeup. 
Algebra 
Beth,
I did sorry about that but I have found the answer since then. I got it wrong when I submitted it but time was running out. However, I know the answer now but I still don't understand it at all.