What is the inverse of f(x)=(5x)^{-4/3} ?

The inverse of f(x)=(5x)^{-4/3} is 1/(5x^{3/4)},-1/(5x^{3/4)}

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inverse of f(x)=(5x)^{-4/3}

inverse

f (x) = (5 x)^{- \frac{4}{3}}

\frac{1}{5 x ^{\frac{3}{4}}}, - \frac{1}{5 x ^{\frac{3}{4}}}

Solution steps

y = (5 x)^{- \frac{4}{3}}

Replace

x

with

y

x = (5 y)^{- \frac{4}{3}}

Solve for

y, x = (5 y)^{- \frac{4}{3}}

\frac{1}{5 x ^{\frac{3}{4}}}, - \frac{1}{5 x ^{\frac{3}{4}}}

y = ln (2 x - 3) - ln (x + 5) + 1

f (x) = 1 + 4 + 8 x

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

- 2 x + 6

f (x) = \frac{4 - x}{7 - 2 x}

What is the inverse of f(x)=(5x)^{-4/3} ?
The inverse of f(x)=(5x)^{-4/3} is 1/(5x^{3/4)},-1/(5x^{3/4)}