SOLUTION: Determine whether the function has an inverse function and if so, find the inverse function f(x)=x^3+8
Algebra.Com
Question 204759: Determine whether the function has an inverse function and if so, find the inverse function f(x)=x^3+8
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Determine whether the function has an inverse function and if so, find the inverse function f(x)=x^3+8
----------------------------
Interchange x and y to get:
x = y^3+8
Solve for "y":
y^3 = x-8
y = (x-8)^(1/3)
----------------------
Yes, the inverse exists and it is a function.
=============================
Cheers,
Stan H.
RELATED QUESTIONS
Determine if the function f defined by the set of ordered pairs has an inverse. If so,... (answered by CubeyThePenguin)
Determine if the following function has an inverse function.
k(x)=3x^2−5
A. k has (answered by MathLover1)
Find the inverse of each function. Determine whether the inverse is a function, and state (answered by edjones)
Find the inverse of F(x)= -√3x-4. Determine the domain of the original function.
(answered by stanbon,Edwin McCravy)
if the function is one to one, find it's inverse.... (answered by tommyt3rd)
Find the inverse function.
f(x)=x/(x+3)
(answered by tommyt3rd)
Find the inverse function for f(x)= x^3 +... (answered by edjones)
f(x)=2x+4 find the inverse function, domain and range of inverse function
(answered by stanbon)
Find the inverse of the function f(x) = 4x -... (answered by edjones)