Help with understanding this as well?

Question

lifeisadangerousgame · Answer

attachment

lifeisadangerousgame · Answer

Based on what my book says, I need to do this:
f(x) = x^3
y = x^3
x = y^3
but I don't know how to go from there

lifeisadangerousgame · Answer

Anyone? :/

lifeisadangerousgame · Answer

@mxdd17 Can you help?

anonymous · Answer

Looked over it, but I can't remember how to do it. Last semester I probably could.

lifeisadangerousgame · Answer

aww okay

anonymous · Answer

I think you need to solve for y.

lifeisadangerousgame · Answer

then its$$y = \sqrt[3]{x}$$

anonymous · Answer

Domain and range would be All real numbers

lifeisadangerousgame · Answer

Can you show me? I don't really understand this

anonymous · Answer

You found the inverse (x = y^3)
The next step would be to isolate x, 
y=3√x
If x was in a square root, you would eliminate the negative numbers from the domain so that there would not be any imaginary numbers but it's a cube root, so it is unaffected by them. This means that there are no restrictions.
To find the range, you isolate the x variable to get x=y^3.
There are no restrictions for this either, so the range and domain are ALL REAL NUMBERS

lifeisadangerousgame · Answer

Does that mean it is a function?

anonymous · Answer

the domain and range are a range of numbers
$$(-\infty,\infty)$$

lifeisadangerousgame · Answer

Okay:D THank you!