Find the equation of the inverse of each given function.

F(x): (x+1)^3

I messed up in my calculating but i cant find the error

Question

Find the equation of the inverse of each given function.

F(x): (x+1)^3

I messed up in my calculating but i cant find the error

anonymous · Answer

I did y=(x+1)^3
Then 
Y=x^3 +1^3
Subtract 1^3
Then i got y-1=x ^3 but then i got messed up from there

anonymous · Answer

Actually wait should i have left -1 on that side ok never mind got it but wait i have a question

imstuck · Answer

$$y=(x+1)^{3}$$

imstuck · Answer

replace x and y with each other and solve for y.

imstuck · Answer

$$x = (y+1)^{3}$$

anonymous · Answer

And then solve to isolate y

imstuck · Answer

to undo the cubing of the (y+1) you have to take the cubed root of both sides, like this:$$\sqrt[3]{x}=y+1$$Now subtract the 1 from both sides so you have y alone:$$\sqrt[3]{x}-1=y$$

anonymous · Answer

Yea i got that already haha, just had to think it through... I have a massive headache because of school

anonymous · Answer

But when want to test an equation for symmetry algebraically would you just negate the value of f(x) so it would be f(-x) ? And how do you determine where it reflects ?