What is the inverse of f(x)=(7-10x)^{9/2} ?

The inverse of f(x)=(7-10x)^{9/2} is -(x^{2/9}-7)/(10)

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inverse of f(x)=(7-10x)^{9/2}

inverse

f (x) = (7 - 10 x)^{\frac{9}{2}}

- \frac{x ^{\frac{2}{9}} - 7}{10}

Solution steps

y = (7 - 10 x)^{\frac{9}{2}}

Replace

x

with

y

x = (7 - 10 y)^{\frac{9}{2}}

Solve for

y, x = (7 - 10 y)^{\frac{9}{2}}

- \frac{x ^{\frac{2}{9}} - 7}{10}

y = \frac{3 x - 6}{x - 2}

f (x) = - \frac{1}{2} y - 5

x^{4} - 4 x^{3}

y = x

f (x) = 4 - ln (x + 2)

What is the inverse of f(x)=(7-10x)^{9/2} ?
The inverse of f(x)=(7-10x)^{9/2} is -(x^{2/9}-7)/(10)