What is the inverse of f(x)=(x+18)/(2sqrt(x+18)) ?

The inverse of f(x)=(x+18)/(2sqrt(x+18)) is 4x^2-18

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inverse of f(x)=(x+18)/(2sqrt(x+18))

inverse

f (x) = \frac{x + 18}{2 x + 18}

4 x^{2} - 18

Solution steps

y = \frac{x + 18}{2 x + 18}

Replace

x

with

y

x = \frac{y + 18}{2 y + 18}

Solve for

y, x = \frac{y + 18}{2 y + 18}

4 x^{2} - 18

f (x) = - (x - 1)^{2} + 3

f (x) = x - 12 + 5

f (x) = 6 x - \frac{2}{7}

f (x) = \frac{4}{- n + 2}

f (x) = - \frac{4}{- x - 3}

What is the inverse of f(x)=(x+18)/(2sqrt(x+18)) ?
The inverse of f(x)=(x+18)/(2sqrt(x+18)) is 4x^2-18