What is the inverse of f(x)=(x-2)/(4x+9) ?

The inverse of f(x)=(x-2)/(4x+9) is (-2-9x)/(4x-1)

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inverse of f(x)=(x-2)/(4x+9)

inverse

f (x) = \frac{x - 2}{4 x + 9}

\frac{- 2 - 9 x}{4 x - 1}

Solution steps

y = \frac{x - 2}{4 x + 9}

Replace

x

with

y

x = \frac{y - 2}{4 y + 9}

Solve for

y, x = \frac{y - 2}{4 y + 9}

\frac{- 2 - 9 x}{4 x - 1}

f (x) = 19 \cdot x - 53

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

8 x + 9 x^{2} + 1 + 1

11 x^{3} - 10

\frac{1}{0.1 + j ^{0.4}}

What is the inverse of f(x)=(x-2)/(4x+9) ?
The inverse of f(x)=(x-2)/(4x+9) is (-2-9x)/(4x-1)