SOLUTION: I need some help finding the equation of the inverse function if the function is invertible:
f(x)=3(cube root of 9x)
could someone help me with this please?
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-> SOLUTION: I need some help finding the equation of the inverse function if the function is invertible:
f(x)=3(cube root of 9x)
could someone help me with this please?
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Question 61852: I need some help finding the equation of the inverse function if the function is invertible:
f(x)=3(cube root of 9x)
could someone help me with this please? Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! I need some help finding the equation of the inverse function if the function is invertible:
f(x)=3(cube root of 9x)
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It is invertible as it is one-to-one.
y=3(9x)^(1/3)
Interchange x and y and solve for y as follows:
x/3 =(9y)^(1/3)
Cube both sides to get:
(x/3)^3 = 9y
y=(1/9)(x/3)^3
y=(1/243)x^3
That is the inverse function.
Cheers,
Stan H.
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