What is the inverse of f(x)=((x+4))/(x+6) ?

The inverse of f(x)=((x+4))/(x+6) is (4-6x)/(x-1)

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inverse of f(x)=((x+4))/(x+6)

inverse

f (x) = \frac{( x + 4 )}{x + 6}

\frac{4 - 6 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 6}

Replace

x

with

y

x = \frac{y + 4}{y + 6}

Solve for

y, x = \frac{y + 4}{y + 6}

\frac{4 - 6 x}{x - 1}

f (x) = \frac{3}{x} - 4

f (x) = 1 + x - 3

f (x) = \frac{( 2 x + 1 )}{3 - 2 x}

f (x) = 2^{3 x} - 4

f (x) = 2 (3 x - 4)

What is the inverse of f(x)=((x+4))/(x+6) ?
The inverse of f(x)=((x+4))/(x+6) is (4-6x)/(x-1)