What is the inverse of f(x)=-9x^{-4} ?

The inverse of f(x)=-9x^{-4} is \sqrt[4]{-9/x},-\sqrt[4]{-9/x}

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inverse of f(x)=-9x^{-4}

inverse

f (x) = - 9 x^{- 4}

4 - \frac{9}{x}, - 4 - \frac{9}{x}

Solution steps

y = - 9 x^{- 4}

Replace

x

with

y

x = - 9 y^{- 4}

Solve for

y, x = - 9 y^{- 4}

4 - \frac{9}{x}, - 4 - \frac{9}{x}

f (x) = 5 + 6 + 7 x

f (x) = \frac{( x - 3 )}{5}

f (x) = \frac{- 7 x - 45}{x + 3}

f (x) = \frac{13 x}{50}

f (x) = \frac{3 x + 9}{x - 8}

What is the inverse of f(x)=-9x^{-4} ?
The inverse of f(x)=-9x^{-4} is \sqrt[4]{-9/x},-\sqrt[4]{-9/x}