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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

\frac{5 x - 5}{3 x - 6}

f (x) = 6 x - 2 + 3

f (x) = 135.905

f (x) = 4 (x - 3) 2 + 2

10 - 3 x

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