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

The inverse of sqrt((x+3)/(x-2)) is (3+2x^2)/(x^2-1)

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inverse of sqrt((x+3)/(x-2))

inverse

\frac{x + 3}{x - 2}

\frac{3 + 2 x ^{2}}{x ^{2} - 1}

Solution steps

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

Replace

x

with

y

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

Solve for

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

\frac{3 + 2 x ^{2}}{x ^{2} - 1}

f (x) = 7 - x + 9

f (x) = (6 x - 1)^{2}

f (x) = 30 x^{2} - 15 x + ln (10)

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

lo g_{3} (3)

What is the inverse of sqrt((x+3)/(x-2)) ?
The inverse of sqrt((x+3)/(x-2)) is (3+2x^2)/(x^2-1)