What is the inverse of f(x)=(x+8)/(1-2x) ?

The inverse of f(x)=(x+8)/(1-2x) is -(8-x)/(1+2x)

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inverse of f(x)=(x+8)/(1-2x)

inverse

f (x) = \frac{x + 8}{1 - 2 x}

- \frac{8 - x}{1 + 2 x}

Solution steps

y = \frac{x + 8}{1 - 2 x}

Replace

x

with

y

x = \frac{y + 8}{1 - 2 y}

Solve for

y, x = \frac{y + 8}{1 - 2 y}

- \frac{8 - x}{1 + 2 x}

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

x + 1 - 8

f (x) = \frac{( x + 4 )}{( x + 14 )}

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

f (x) = \frac{( 13 x + 2 )}{( 3 x - 7 )}

What is the inverse of f(x)=(x+8)/(1-2x) ?
The inverse of f(x)=(x+8)/(1-2x) is -(8-x)/(1+2x)