What is the inverse of f(x)=((x-2)/3)^7+6 ?

The inverse of f(x)=((x-2)/3)^7+6 is 3\sqrt[7]{x-6}+2

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inverse of f(x)=((x-2)/3)^7+6

inverse

f (x) = (\frac{x - 2}{3})^{7} + 6

Solution steps

y = (\frac{x - 2}{3})^{7} + 6

Replace

x

with

y

x = (\frac{y - 2}{3})^{7} + 6

Solve for

y, x = (\frac{y - 2}{3})^{7} + 6

f (x) = - \frac{4}{5} x

\frac{x - 5}{3}

0.5

f (x) = 9 sin (4 x)

50 + 2 q^{2}

What is the inverse of f(x)=((x-2)/3)^7+6 ?
The inverse of f(x)=((x-2)/3)^7+6 is 3\sqrt[7]{x-6}+2