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

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

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

inverse

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

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

Solution steps

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

Replace

t

with

x

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

Solve for

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

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

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