What is the inverse of f(x)=(2x-1)/(-x+5)+1=-2x-7 ?

The inverse of f(x)=(2x-1)/(-x+5)+1=-2x-7 is -(x+7)/2

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inverse of f(x)=(2x-1)/(-x+5)+1=-2x-7

inverse

f (x) = \frac{2 x - 1}{- x + 5} + 1 = - 2 x - 7

- \frac{x + 7}{2}

Solution steps

y = - 2 x - 7

Replace

x

with

y

x = - 2 y - 7

Solve for

y, x = - 2 y - 7

- \frac{x + 7}{2}

\frac{x ^{3} - 1}{x ^{2}}

f (x) = \frac{8 x ^{2} + 26 x - 7}{4 x - 1}

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

f (x) = x^{4} - 2 x^{2} + 1

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

What is the inverse of f(x)=(2x-1)/(-x+5)+1=-2x-7 ?
The inverse of f(x)=(2x-1)/(-x+5)+1=-2x-7 is -(x+7)/2