What is the inverse of f(x)=(5x+9)/(-2x+4) ?

The inverse of f(x)=(5x+9)/(-2x+4) is -(9-4x)/(5+2x)

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inverse of f(x)=(5x+9)/(-2x+4)

inverse

f (x) = \frac{5 x + 9}{- 2 x + 4}

- \frac{9 - 4 x}{5 + 2 x}

Solution steps

y = \frac{5 x + 9}{- 2 x + 4}

Replace

x

with

y

x = \frac{5 y + 9}{- 2 y + 4}

Solve for

y, x = \frac{5 y + 9}{- 2 y + 4}

- \frac{9 - 4 x}{5 + 2 x}

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

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

f (x) = 3^{x + 2} - 6

2 + 4 + 7 x

f (x) = - 2 x^{2} - 12 x - 9

What is the inverse of f(x)=(5x+9)/(-2x+4) ?
The inverse of f(x)=(5x+9)/(-2x+4) is -(9-4x)/(5+2x)