What is the inverse of f(x)=(-4x+10)/(-x-1) ?

The inverse of f(x)=(-4x+10)/(-x-1) is (10+x)/(-x+4)

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inverse of f(x)=(-4x+10)/(-x-1)

inverse

f (x) = \frac{- 4 x + 10}{- x - 1}

\frac{10 + x}{- x + 4}

Solution steps

y = \frac{- 4 x + 10}{- x - 1}

Replace

x

with

y

x = \frac{- 4 y + 10}{- y - 1}

Solve for

y, x = \frac{- 4 y + 10}{- y - 1}

\frac{10 + x}{- x + 4}

What is the inverse of f(x)=(-4x+10)/(-x-1) ?
The inverse of f(x)=(-4x+10)/(-x-1) is (10+x)/(-x+4)