What is the inverse of f(x)=(x+3)/(2x-9) ?

The inverse of f(x)=(x+3)/(2x-9) is (3+9x)/(2x-1)

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inverse of f(x)=(x+3)/(2x-9)

inverse

f (x) = \frac{x + 3}{2 x - 9}

\frac{3 + 9 x}{2 x - 1}

Solution steps

y = \frac{x + 3}{2 x - 9}

Replace

x

with

y

x = \frac{y + 3}{2 y - 9}

Solve for

y, x = \frac{y + 3}{2 y - 9}

\frac{3 + 9 x}{2 x - 1}

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

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

f (x) = 3 + 4 + 9 x

f (x) = \frac{1}{2} \cdot 8^{3 x + 9} - 7

What is the inverse of f(x)=(x+3)/(2x-9) ?
The inverse of f(x)=(x+3)/(2x-9) is (3+9x)/(2x-1)