What is the inverse of f(x)=(4-10x)^{5/2} ?

The inverse of f(x)=(4-10x)^{5/2} is -(x^{2/5}-4)/(10)

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inverse of f(x)=(4-10x)^{5/2}

inverse

f (x) = (4 - 10 x)^{\frac{5}{2}}

- \frac{x ^{\frac{2}{5}} - 4}{10}

Solution steps

y = (4 - 10 x)^{\frac{5}{2}}

Replace

x

with

y

x = (4 - 10 y)^{\frac{5}{2}}

Solve for

y, x = (4 - 10 y)^{\frac{5}{2}}

- \frac{x ^{\frac{2}{5}} - 4}{10}

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

f (x) = \frac{x ( x - 1 ) ( x - 2 ) ( x - 3 )}{24}

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

f (x) = 45 - 9 x

f (x) = arcsin (3 x + 1)

What is the inverse of f(x)=(4-10x)^{5/2} ?
The inverse of f(x)=(4-10x)^{5/2} is -(x^{2/5}-4)/(10)