What is the inverse of f(2)=7x^{(-4)} ?

The inverse of f(2)=7x^{(-4)} is \sqrt[4]{7/x},-\sqrt[4]{7/x}

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inverse of f(2)=7x^{(-4)}

inverse

f (2) = 7 x^{(- 4)}

Solution steps

y = 7 x^{- 4}

Replace

x

with

y

x = 7 y^{- 4}

Solve for

y, x = 7 y^{- 4}

f (x) = \frac{1}{x ^{2} + 2}

f (x) = 3 x + 5 y - 8 = 0

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

3 - ln (7 x)

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

What is the inverse of f(2)=7x^{(-4)} ?
The inverse of f(2)=7x^{(-4)} is \sqrt[4]{7/x},-\sqrt[4]{7/x}