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anonymous
 4 years ago
Help please
f(x) = cubed root 3x^31
find f^1(x)
and
(f^1 of) (135)
anonymous
 4 years ago
Help please f(x) = cubed root 3x^31 find f^1(x) and (f^1 of) (135)

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asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0the easiest way of tackling problems like this is to write them in the form y=f(x), then swap the x and y's and finally solve for y. so, in this case we are given:\[y=f(x)=\sqrt[3]{3x^31}\]so first step is to swap the x and y's, giving us:\[x=\sqrt[3]{3y^31}\]now we need to solve for y. so lets cube both sides to get:\[x^3=3y^31\]therefore:\[y=\sqrt[3]{\frac{1+x^3}{3}}\]this is your inverse function. so now replace y with \(f^{1}(x)\) to get:\[f^{1}(x)=\sqrt[3]{\frac{1+x^3}{3}}\] to work out \(f^{1}(135)\) just substitute x=135 into the equation above.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0can i ask one more question for a different problem : f(x)=2x+3 find (f(x))^1

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0Its best if you post this as a new question.

asnaseer
 4 years ago
Best ResponseYou've already chosen the best response.0but the principal to solve it the same as I outlined for you above.
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