Finding & Analyzing Inverse Functions

[nycmathguy]

Section 1.9
Question 46

Part (a)

f(x) = x^3 + 8

y = x^3 + 8

x = y^3 + 8

(x - 8) = y^3

Let cr = cube root

cr{x - 8} = cr{y^3}

cr{x - 8} = y

For (b), what's a good calculator site for graphing several equations at once?

Can you explain part (c)?

Part (d)

There is no restriction on x in terms of cube root functions.

Domain = all real numbers
Range = all real numbers

 

[MathLover1]

correct
to graph several equations at once use
https://www.desmos.com/calculator/smufmlkkam

 

[nycmathguy]

correct
to graph several equations at once use
https://www.desmos.com/calculator/smufmlkkam

Thanks for the link. I may need it for future graphs.