What is the inverse of f(x)=(5-9t)^{9/2} ?

The inverse of f(x)=(5-9t)^{9/2} is -(t^{2/9}-5)/9

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inverse of f(x)=(5-9t)^{9/2}

inverse

f (x) = (5 - 9 t)^{\frac{9}{2}}

- \frac{t ^{\frac{2}{9}} - 5}{9}

Solution steps

x = (5 - 9 t)^{\frac{9}{2}}

Replace

t

with

x

t = (5 - 9 x)^{\frac{9}{2}}

Solve for

x, t = (5 - 9 x)^{\frac{9}{2}}

- \frac{t ^{\frac{2}{9}} - 5}{9}

What is the inverse of f(x)=(5-9t)^{9/2} ?
The inverse of f(x)=(5-9t)^{9/2} is -(t^{2/9}-5)/9