What is the inverse of f(x)=(2x-3)/(7x+9) ?

The inverse of f(x)=(2x-3)/(7x+9) is (-3-9x)/(7x-2)

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inverse of f(x)=(2x-3)/(7x+9)

inverse

f (x) = \frac{2 x - 3}{7 x + 9}

\frac{- 3 - 9 x}{7 x - 2}

Solution steps

y = \frac{2 x - 3}{7 x + 9}

Replace

x

with

y

x = \frac{2 y - 3}{7 y + 9}

Solve for

y, x = \frac{2 y - 3}{7 y + 9}

\frac{- 3 - 9 x}{7 x - 2}

f (x) = (2 x - 9)

f (x) = 8 x^{2} - 3

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

f (x) = 11 x^{3} - 10

f (x) = \frac{2}{x - 1} - 3

What is the inverse of f(x)=(2x-3)/(7x+9) ?
The inverse of f(x)=(2x-3)/(7x+9) is (-3-9x)/(7x-2)