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.Com
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)   (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)
----------------------------
If x=2, y does not equal 3.

RELATED QUESTIONS

If g(x) is the inverse of f(x)=√(x^3) + 1 . which of the following is on g(x)? (answered by CubeyThePenguin)
Determine if g is the inverse of f. f(x)= √x+2 ; g(x)=x^2-2,... (answered by josgarithmetic)
This is what i submitted and am being told that the composition of one of my answers is... (answered by stanbon)
determine if g is the inverse of f. http://i.imgur.com/nCQxKGv.png f(x)=4 +... (answered by MathLover1)
Find functions f and g so that h(x)=f(g(x)). The function g must be a polynomial or... (answered by richard1234)
Find the domain of the composite function fog. f(x)=x²+8;g(x)=√x-1... (answered by ewatrrr)
If f(x) = √x + 12 and g(x) = 2√x, what is the value of (f-g)(144)? -84... (answered by Fombitz)
Please show all work. Given the following functions f(x)=x+3 g(x)=√(x-1)... (answered by rothauserc)
Find (a) (f o g)(x) and the domain of f o g and (b) (g o f)(x) and the domain of g o f.... (answered by stanbon)