What is the inverse of f(x)=(5-sqrt(x))/(3+2sqrt(x)) ?

The inverse of f(x)=(5-sqrt(x))/(3+2sqrt(x)) is (25-30x+9x^2)/(4x^2+4x+1)

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inverse of f(x)=(5-sqrt(x))/(3+2sqrt(x))

inverse

\frac{25 - 30 x + 9 x ^{2}}{4 x ^{2} + 4 x + 1}

Solution steps

y = \frac{5 - x}{3 + 2 x}

Replace

x

with

y

x = \frac{5 - y}{3 + 2 y}

Solve for

y, x = \frac{5 - y}{3 + 2 y}

\frac{25 - 30 x + 9 x ^{2}}{4 x ^{2} + 4 x + 1}

What is the inverse of f(x)=(5-sqrt(x))/(3+2sqrt(x)) ?
The inverse of f(x)=(5-sqrt(x))/(3+2sqrt(x)) is (25-30x+9x^2)/(4x^2+4x+1)