What is the inverse of f(x)= 8/(sqrt(x-81)) ?

The inverse of f(x)= 8/(sqrt(x-81)) is (64)/(x^2)+81

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inverse of f(x)= 8/(sqrt(x-81))

inverse

f (x) = \frac{8}{x - 81}

\frac{64}{x ^{2}} + 81

Solution steps

y = \frac{8}{x - 81}

Replace

x

with

y

x = \frac{8}{y - 81}

Solve for

y, x = \frac{8}{y - 81}

\frac{64}{x ^{2}} + 81

f (x) = x - 2

3 x^{4} - 4 x^{3} + 2

x^{2} + 5

f (x) = \frac{18 - 3 x - x ^{2}}{x ^{2} - 9}

What is the inverse of f(x)= 8/(sqrt(x-81)) ?
The inverse of f(x)= 8/(sqrt(x-81)) is (64)/(x^2)+81