SOLUTION: If g(x) is the inverse of f(x)=√(x^3) + 1 .
which of the following is on g(x)?
A). (4,9)
B). (9,4)
Algebra.Com
Question 1017128: If g(x) is the inverse of f(x)=√(x^3) + 1 .
which of the following is on g(x)?
A). (4,9)
B). (9,4)
Answer by CubeyThePenguin(3113) (Show Source): You can put this solution on YOUR website!
The easiest way would be to plug in both points after finding the inverse.
y = sqrt(x^3) + 1
y - 1 = sqrt(x^3)
(y - 1)^2 = x^3
(y - 1)^(2/3) = x
g^(-1)(x) = cbrt((x - 1)^2)
g^(-1)(4) = cbrt(3^2) = cbrt(9)
g^(-1)(9) = cbrt(8^2) = 4
The point (9, 4) is on g^(-1)(x).
RELATED QUESTIONS
If g(x) is the inverse of f(x)=√x^3+1 , which of the following is on g(x)?
Just... (answered by Boreal)
22. If f(x)=x^2 and g(x)=x+2, find f[g(x)]
23. If f(x)=x^3+4 and g(x)=x+3, find... (answered by khwang)
1. what is the inverse of the function y=-4/3 x-9/3
2. what is the inverse relation... (answered by lynnlo)
Given the functions f(x)=2x-4, g(x)= √x, and h(x)=x^2+9, calculate each of the... (answered by DrBeeee)
Which of the following pairs of functions are inverse functions?
a. f(x)=3x-9,... (answered by Nate)
Please can someone help me solve the following. I would really appreciate some help.... (answered by stanbon)
determine if g is the inverse of f.
http://i.imgur.com/nCQxKGv.png
f(x)=4 +... (answered by MathLover1)
If f(-4)=5, which of the following could not be the inverse of f(x)?
a)g(x)=x-9... (answered by ikleyn,Edwin McCravy)
A function is defined as f(x) = 3x + 4. The inverse of a function “undoes” the function. (answered by stanbon)