I have to solve an inverse function.

Question

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.

Answer 1

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?

Answer 2

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.

Answer 3

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.