Question

Find a formula for the inverse of the following function, if possible.

Answer 1

\[P(x) = 3\sqrt[3]{x} - 1\]

\[P ^{-1}(x) =\]

or does not have an inverse function

Answer 2

@tranquility

Answer 3

@Tranquility

Answer 4

Make the x into y
and the P(x) into x

\( x = 3 \sqrt[3]{y} -1\)

Now you just need to solve for y

Answer 5

P(x) is essentially y and then you're switching the x and y so that's why you make it x

Answer 6

\[y = \frac{ x^{3} }{ 27} + \frac{ x^{2} }{ 9 } + \frac{ x }{ 9} + \frac{ 1 }{ 27}\]

Answer 7

You probably want to keep it simple like your previous question



\(y=\left(\dfrac{x+1}{3}\right)^3\)

Answer 8

Why expand it if you don't have to, right?

Answer 9

yes you're right

Answer 10

Just keep it simplified and don't expand it

Answer 11

yes sir