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

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

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

inverse

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

- \frac{- 1 - 5 x}{2 + x}

Solution steps

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

Replace

x

with

y

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

Solve for

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

- \frac{- 1 - 5 x}{2 + x}

y = - 2 x^{2} + 3

\frac{x}{x - 2}

f (x) = ln (7 - 3 x^{2})

f (x) = \frac{( x - 8 ) ^{7}}{7}

f (x) = lo g_{3} (x)

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