What is the inverse of f(x)=((x+3))/((x+13)) ?

The inverse of f(x)=((x+3))/((x+13)) is (3-13x)/(x-1)

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inverse of f(x)=((x+3))/((x+13))

inverse

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

\frac{3 - 13 x}{x - 1}

Solution steps

y = \frac{x + 3}{x + 13}

Replace

x

with

y

x = \frac{y + 3}{y + 13}

Solve for

y, x = \frac{y + 3}{y + 13}

\frac{3 - 13 x}{x - 1}

y = lo g_{2} (lo g_{10} (x))

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

f (x) = 4 + ln (x - 2)

\frac{( x + 8 )}{6}

f (x) = \frac{2}{3} x - 9

What is the inverse of f(x)=((x+3))/((x+13)) ?
The inverse of f(x)=((x+3))/((x+13)) is (3-13x)/(x-1)