Find the inverse of the function:
f(x) = (3/4) x^5 + 5
read "three-fourths x to the fifth plus 5"
Graphing my progress on my calculator as I go, the last point where I get an inverse is at
5^[sqrt] ((4/3)x - (20/3))
^(root with an index of 5)
If I am thinking correctly, you cannot have a root in the denominator, so I've been multiplying the whole thing above by
^again, root with an index of 5
to get the fifth root out of the denominator, but this messes the whole equation up and it no longer mirrors the original function when I plug it into my graphing calculator. Is there some rule with roots about square roots that I am unaware of?
Help is much appreciated.