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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

f (x) = e^{x^{2} - 2 x}

f (x) = 3 - 4 - x

2 π r^{2} + 8 π r

f (x) = 2 π x^{2} + 12 π x

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

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