Question

what is the inverse of this :

f(x)=(2x-x^3)^5

Answer 1

15

Answer 2

f(x)=(2x-x^3)^5
Inverse will be:
1/((2x-x^3)^5)

http://www.wolframalpha.com/input/?i=1%2F%28%282x-x^3%29^5%29

Answer 3

Have you tried taking the derivative, inversing, and multiplying by -1?

Answer 4

http://www.wolframalpha.com/input/?i=inverse+of+a+function&f1=%282x-x%5E3%29%5E5&x=8&y=4&f=InverseFunction.invfunction_%282x-x%5E3%29%5E5

Answer 5

i cant solve it

Answer 6

This requires solving a cubic to do... you sure the question is to find the inverse function of
\[f(x)=(2x-x^3)^5\]?

Answer 7

yes. im sure. it is stated in the book.

Answer 8

f(x) is not bijective function. Inverse function does not exist.
example \[f(0)=f(\pm\sqrt{2})=0\]

Answer 9

Well spotted nikvist!