What is the inverse of f(x)=7\sqrt[3]{x+8}-10 ?

The inverse of f(x)=7\sqrt[3]{x+8}-10 is (x^3+30x^2+300x+1000)/(343)-8

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inverse of f(x)=7\sqrt[3]{x+8}-10

inverse

\frac{x ^{3} + 30 x ^{2} + 300 x + 1000}{343} - 8

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3} + 30 x ^{2} + 300 x + 1000}{343} - 8

12 x - 5

3 x^{2} - 18 x + 25

f (x) = \frac{6 x + 13}{5 x - 12}

f (x) = 3^{2 x + 1} - 4

x - 11

What is the inverse of f(x)=7\sqrt[3]{x+8}-10 ?
The inverse of f(x)=7\sqrt[3]{x+8}-10 is (x^3+30x^2+300x+1000)/(343)-8