What is the inverse of f(x)=8((x+10)/9)^{1/7} ?

The inverse of f(x)=8((x+10)/9)^{1/7} is (9x^7)/(2097152)-10

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inverse of f(x)=8((x+10)/9)^{1/7}

inverse

f (x) = 8 (\frac{x + 10}{9})^{\frac{1}{7}}

\frac{9 x ^{7}}{2097152} - 10

Solution steps

y = 8 (\frac{x + 10}{9})^{\frac{1}{7}}

Replace

x

with

y

x = 8 (\frac{y + 10}{9})^{\frac{1}{7}}

Solve for

y, x = 8 (\frac{y + 10}{9})^{\frac{1}{7}}

\frac{9 x ^{7}}{2097152} - 10

What is the inverse of f(x)=8((x+10)/9)^{1/7} ?
The inverse of f(x)=8((x+10)/9)^{1/7} is (9x^7)/(2097152)-10