What is the inverse of f(x)=(5-10x)^{9/2} ?

The inverse of f(x)=(5-10x)^{9/2} is -(x^{2/9}-5)/(10)

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inverse of f(x)=(5-10x)^{9/2}

inverse

f (x) = (5 - 10 x)^{\frac{9}{2}}

- \frac{x ^{\frac{2}{9}} - 5}{10}

Solution steps

y = (5 - 10 x)^{\frac{9}{2}}

Replace

x

with

y

x = (5 - 10 y)^{\frac{9}{2}}

Solve for

y, x = (5 - 10 y)^{\frac{9}{2}}

- \frac{x ^{\frac{2}{9}} - 5}{10}

f (x) = 5 x^{2} + 1

x^{3} + 3

3 x - 7

5 x + 6 y = 12

(- 2, - 2), (2, - 8)

What is the inverse of f(x)=(5-10x)^{9/2} ?
The inverse of f(x)=(5-10x)^{9/2} is -(x^{2/9}-5)/(10)