What is the inverse of f(x)=(2x+3)/(5-6x) ?

The inverse of f(x)=(2x+3)/(5-6x) is -(3-5x)/(2(1+3x))

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inverse of f(x)=(2x+3)/(5-6x)

inverse

f (x) = \frac{2 x + 3}{5 - 6 x}

- \frac{3 - 5 x}{2 ( 1 + 3 x )}

Solution steps

y = \frac{2 x + 3}{5 - 6 x}

Replace

x

with

y

x = \frac{2 y + 3}{5 - 6 y}

Solve for

y, x = \frac{2 y + 3}{5 - 6 y}

- \frac{3 - 5 x}{2 ( 1 + 3 x )}

f (x) = \frac{9 x}{4 x - 5}

f (x) = 10 (x - 2) + 10

lo g_{2} (lo g_{10} (x))

f (x) = sin (\frac{4}{5 x + 2})

f (x) = \frac{9 x}{4 x - 1}

What is the inverse of f(x)=(2x+3)/(5-6x) ?
The inverse of f(x)=(2x+3)/(5-6x) is -(3-5x)/(2(1+3x))