Math  /  Algebra

QuestionFind the inverse function of f(x)=(x34)7f(x)=\left(\frac{\sqrt[3]{x}}{4}\right)^{7}.

Studdy Solution
implify the right side of the equation to get the inverse function.
y=43x37y=4^3\cdot x^{\frac{3}{7}}y=64x37y=64x^{\frac{3}{7}}So, the inverse function f1(x)f^{-1}(x) isf1(x)=64x37f^{-1}(x)=64x^{\frac{3}{7}}

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