Question

Find the inverse of f(x)=2x^3-1

Answer 1

start by swapping x and y

so it becomes

\[x = 2y^3 - 1\]

noe make y the subject... that will be the inverse

Answer 2

In order to find the inverse of a function, first, replace f(x) with y. Next, change your y into an x, and your x into a y. Now solve for y.

Example:
\[f(x) = 3x-4\]\[y=3x-4\]\[x=3y-4\]\[x+4=3y\]\[\frac{x+4}{3}=y\]\[f^{-1}(x)=\frac{x+4}{3}\]

Answer 3

I already know those steps. I'm just confused in how to work out diving 2y^3 since it's cubed

Answer 4

ok... start by adding 1 to both sides

\[x + 1 = 2y^3\]

now divide by 2

\[\frac{x + 1}{2} = y^3\]

lastly take the cube root of both sides

hope it helps