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

or does not have an inverse function

Question

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

or does not have an inverse function

KyledaGreat · Answer

$$h(x) = \sqrt[3]{x^3+ 3} + 3$$

$$h^{-1}(x) =$$

KyledaGreat · Answer

@Tranquility

KyledaGreat · Answer

(x^3/3)

KyledaGreat · Answer

@tranquility

Tranquility · Answer

@kyledagreat wrote:

(x^3/3)

That's not quite right

Tranquility · Answer

@kyledagreat wrote:

$h(x) = \sqrt[3]{x^3+ 3} + 3$ $h^{-1}(x) =$

replace x with $ h^{-1}(x)$ or just y and the h(x) with x $x = \sqrt[3]{y^3+ 3} + 3$

Tranquility · Answer

All you need to do is solve for y now

What do you get when you take the 3 to the other side?

KyledaGreat · Answer

d$$y = \sqrt[3]{x^3 - 9x^2 + 27x - 30}$$

Tranquility · Answer

No

Tranquility · Answer

I'm not sure how you got that inside the cube root

Tranquility · Answer

Oh wait, you're saying that as your final answer mhmm

Let me check, I haven't even gotten that far yet

Tranquility · Answer

$x = \sqrt[3]{y^3+ 3} + 3$

(x - 3)^3 - 3 = y^3

y = cube root of all that

so it looks correct

Tranquility · Answer

Yeah that's correct for the inverse

KyledaGreat · Answer

alright , which one should i enter to be correct ?

Tranquility · Answer

I would think that the program should accept both answers

KyledaGreat · Answer

no it didn't , i have to try another one . Could you check and see the other one

Tranquility · Answer

cube root of (x - 3)^3 - 3

KyledaGreat · Answer

oh ok , i posted a new one

Tranquility · Answer

sure