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

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

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

inverse

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

\frac{1 - 7 x}{x - 2}

Solution steps

y = \frac{1 + 2 x}{7 + x}

Replace

x

with

y

x = \frac{1 + 2 y}{7 + y}

Solve for

y, x = \frac{1 + 2 y}{7 + y}

\frac{1 - 7 x}{x - 2}

f (x) = x - 5 + 8

f (x) = \frac{e ^{x}}{7 + 4 e ^{x}}

f (x) = 13 x - 7

\frac{5 x - 3}{2 x + 3}

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