What is the inverse of f(x)=(5x+9)/(-3x+4) ?

The inverse of f(x)=(5x+9)/(-3x+4) is -(9-4x)/(5+3x)

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inverse of f(x)=(5x+9)/(-3x+4)

inverse

f (x) = \frac{5 x + 9}{- 3 x + 4}

- \frac{9 - 4 x}{5 + 3 x}

Solution steps

y = \frac{5 x + 9}{- 3 x + 4}

Replace

x

with

y

x = \frac{5 y + 9}{- 3 y + 4}

Solve for

y, x = \frac{5 y + 9}{- 3 y + 4}

- \frac{9 - 4 x}{5 + 3 x}

f (x) = \frac{6 x}{8 - 5 x}

arcsin (\frac{x}{4})

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

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

f (x) = \frac{4 x - 5}{2 x + 1}

What is the inverse of f(x)=(5x+9)/(-3x+4) ?
The inverse of f(x)=(5x+9)/(-3x+4) is -(9-4x)/(5+3x)