SOLUTION: If g(x) is the inverse of f(x)=√x^3+1 , which of the following is on g(x)? Just saying that "√" above is the square root symbol. :) A). (2,3)? B). (3,2) ? thanks

Algebra ->  Inverses -> SOLUTION: If g(x) is the inverse of f(x)=√x^3+1 , which of the following is on g(x)? Just saying that "√" above is the square root symbol. :) A). (2,3)? B). (3,2) ? thanks       Log On


   



Question 1017377: If g(x) is the inverse of f(x)=√x^3+1 , which of the following is on g(x)?
Just saying that "√" above is the square root symbol. :)
A). (2,3)? B). (3,2) ? thanks

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
y=(x^3+1)^(1/2)
x=(y^3+1)^(1/2)
x^2=y^3+1
x^2-1=y^3
y=(x2-1)^(1/3) is inverse.
if x=3, y=cube root of 8, or 2.
(3,2)
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If x=2, y does not equal 3.
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