What is the inverse of f(x)=(4x+9)/(5x-6) ?

The inverse of f(x)=(4x+9)/(5x-6) is (9+6x)/(5x-4)

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inverse of f(x)=(4x+9)/(5x-6)

inverse

f (x) = \frac{4 x + 9}{5 x - 6}

\frac{9 + 6 x}{5 x - 4}

Solution steps

y = \frac{4 x + 9}{5 x - 6}

Replace

x

with

y

x = \frac{4 y + 9}{5 y - 6}

Solve for

y, x = \frac{4 y + 9}{5 y - 6}

\frac{9 + 6 x}{5 x - 4}

f (x) = \frac{x + 4}{x ^{2} - 5 x + 6}

x - 3^{2}

f (x) = sin (cot (x))

y = 2 x + 22

f (x) = \frac{x ^{2} - 4 x + 3}{- x + 3}

What is the inverse of f(x)=(4x+9)/(5x-6) ?
The inverse of f(x)=(4x+9)/(5x-6) is (9+6x)/(5x-4)