What is the inverse of f(x)=((3\sqrt[3]{x-2}-5))/7 ?

The inverse of f(x)=((3\sqrt[3]{x-2}-5))/7 is (343x^3+125}{27}+\frac{245x^2+175x)/9+2

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inverse of f(x)=((3\sqrt[3]{x-2}-5))/7

inverse

\frac{343 x ^{3} + 125}{27} + \frac{245 x ^{2} + 175 x}{9} + 2

Solution steps

Replace

x

with

y

Solve for

\frac{343 x ^{3} + 125}{27} + \frac{245 x ^{2} + 175 x}{9} + 2

x^{2} + 4 x + 4

f (x) = lo g_{3} (x + 2)

y = 0

f (x) = \frac{x + 8}{x + 3}

\frac{x - 3}{x + 3}

What is the inverse of f(x)=((3\sqrt[3]{x-2}-5))/7 ?
The inverse of f(x)=((3\sqrt[3]{x-2}-5))/7 is (343x^3+125}{27}+\frac{245x^2+175x)/9+2