Posted by **Beth** on Monday, August 5, 2013 at 6:06pm.

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**, Monday, August 5, 2013 at 7:08pm
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**, Monday, August 5, 2013 at 7:10pm
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 write-up.

- Algebra -
**Beth**, Monday, August 5, 2013 at 8:50pm
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.

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