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MATH SOLVE
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Find f^-1(x) for f(x)=1/x^3 and state whether or not it is a function.
4 months ago
Q:
Find f^-1(x) for f(x)=1/x^3 and state whether or not it is a function.
Accepted Solution
A:
To find the inverse of a function, switch the x and y (the f(x) =y) then solve for y.
x = 1/(y^3)
xy^3 = 1
y^3 = 1/x
f^-1(x) = y = 1/x^(1/3)
Note: 1/3 power is the same as cube root.
Yes it is a function