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anonymous
 one year ago
what is the inverse of the function y=5x^3?
anonymous
 one year ago
what is the inverse of the function y=5x^3?

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0To find the inverse: Replace f(x) with y Switch x's and y's, so put x where y is and x where y is. Solve for y Replace y with f^1(x)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[y=5x^3 \implies x = 5y^3\] solve for y now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No where did you get the 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[y^3 = \frac{ x }{ 5 }\] you will have to take the cube root not divide by 3.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge x^{1/3} = \sqrt[3]{x}\] cube root

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it would be that ^ correct?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Nope, you take the cube root of both sides, \[\huge y^3 = \frac{ x }{ 5 } \implies y = \sqrt[3]{\frac{ x }{ 5 }} \implies f^{1}(x) = \sqrt[3]{\frac{ x }{ 5 }}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\large y^3 = \frac{ x }{ 5 } \implies y = \sqrt[3]{\frac{ x }{ 5 }} \implies f^{1}(x) = \sqrt[3]{\frac{ x }{ 5 }}\]
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