What is the inverse of f(x)=(2x+5)/(-3x+1) ?

The inverse of f(x)=(2x+5)/(-3x+1) is -(5-x)/(2+3x)

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inverse of f(x)=(2x+5)/(-3x+1)

inverse

f (x) = \frac{2 x + 5}{- 3 x + 1}

- \frac{5 - x}{2 + 3 x}

Solution steps

y = \frac{2 x + 5}{- 3 x + 1}

Replace

x

with

y

x = \frac{2 y + 5}{- 3 y + 1}

Solve for

y, x = \frac{2 y + 5}{- 3 y + 1}

- \frac{5 - x}{2 + 3 x}

What is the inverse of f(x)=(2x+5)/(-3x+1) ?
The inverse of f(x)=(2x+5)/(-3x+1) is -(5-x)/(2+3x)