can someone help me find the inverse of f(x). and determine whether it is a function, and please state its domain and range.

Question

anonymous · Answer

To find the inverse of a function, switch the y and x values, and then evaluate for y.

anonymous · Answer

$$f(x)=\sqrt[3]{x+1}$$

anonymous · Answer

So we'll start by swapping out y [f(x)] and x, then solving for y:
$$x=(y+1)^{3}$$ So to find y we'll cube root both sides:
$$x^{1/3} = y+1$$And finally we'll subtract 1 from both sides:
$$y=x^{1/3} -1$$

anonymous · Answer

so its a function with all real numbers ?

anonymous · Answer

Yes, that seems right to me, as you can take the cube root of any number x.

anonymous · Answer

alright thanks!(: