What is the inverse of f(x)=(10)/(sqrt(1-x/(30))) ?

The inverse of f(x)=(10)/(sqrt(1-x/(30))) is -(3000-30x^2)/(x^2)

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inverse of f(x)=(10)/(sqrt(1-x/(30)))

inverse

f (x) = \frac{10}{1 - \frac{x}{30}}

- \frac{3000 - 30 x ^{2}}{x ^{2}}

Solution steps

y = \frac{10}{1 - \frac{x}{30}}

Replace

x

with

y

x = \frac{10}{1 - \frac{y}{30}}

Solve for

y, x = \frac{10}{1 - \frac{y}{30}}

- \frac{3000 - 30 x ^{2}}{x ^{2}}

f (x) = x^{3} - 6 x^{2} + 12 x - 8

(- 1, 0.6), (1, - 3.4)

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

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

f (x) = \frac{13 x + 12}{23 x - 12}

What is the inverse of f(x)=(10)/(sqrt(1-x/(30))) ?
The inverse of f(x)=(10)/(sqrt(1-x/(30))) is -(3000-30x^2)/(x^2)