What is the inverse of f(x)=(x-3)/(9x+4) ?

The inverse of f(x)=(x-3)/(9x+4) is (-3-4x)/(9x-1)

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inverse of f(x)=(x-3)/(9x+4)

inverse

f (x) = \frac{x - 3}{9 x + 4}

\frac{- 3 - 4 x}{9 x - 1}

Solution steps

y = \frac{x - 3}{9 x + 4}

Replace

x

with

y

x = \frac{y - 3}{9 y + 4}

Solve for

y, x = \frac{y - 3}{9 y + 4}

\frac{- 3 - 4 x}{9 x - 1}

f (x) = \frac{x ^{2}}{x ^{2} + 1}

(3, 1), (- 1, - 1)

f (x) = 8 x^{5}

f (x) = - \frac{4}{5} x - 8

f (x) = \frac{- 5 x - 5}{x ^{2} - 1}

What is the inverse of f(x)=(x-3)/(9x+4) ?
The inverse of f(x)=(x-3)/(9x+4) is (-3-4x)/(9x-1)