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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = \frac{4}{x} + 6

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

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

f (x) = 3 x - 15

f (x) = \frac{x ^{2} - 2 x}{2 x ^{2} - 32}

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