What is the inverse of f(x)=(2-4x)^{5/2} ?

The inverse of f(x)=(2-4x)^{5/2} is -(x^{2/5}-2)/4

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inverse of f(x)=(2-4x)^{5/2}

inverse

f (x) = (2 - 4 x)^{\frac{5}{2}}

- \frac{x ^{\frac{2}{5}} - 2}{4}

Solution steps

y = (2 - 4 x)^{\frac{5}{2}}

Replace

x

with

y

x = (2 - 4 y)^{\frac{5}{2}}

Solve for

y, x = (2 - 4 y)^{\frac{5}{2}}

- \frac{x ^{\frac{2}{5}} - 2}{4}

f (x) = ln (x + 3)

y = 7 x + 2

f (x) = x^{2} - 2 x + 5

f (x) = \frac{3 x}{6 x - 5}

f (x) = - x^{3} - 9

What is the inverse of f(x)=(2-4x)^{5/2} ?
The inverse of f(x)=(2-4x)^{5/2} is -(x^{2/5}-2)/4