What is the inverse of f(x)=((x+4))/(x+5) ?

The inverse of f(x)=((x+4))/(x+5) is (4-5x)/(x-1)

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inverse of f(x)=((x+4))/(x+5)

inverse

f (x) = \frac{( x + 4 )}{x + 5}

\frac{4 - 5 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 5}

Replace

x

with

y

x = \frac{y + 4}{y + 5}

Solve for

y, x = \frac{y + 4}{y + 5}

\frac{4 - 5 x}{x - 1}

\frac{1}{4} \cdot 1 0^{x - 3} + 5

f (x) = \frac{1}{3} π x^{3}

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

\frac{5}{3 x - 7}

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

What is the inverse of f(x)=((x+4))/(x+5) ?
The inverse of f(x)=((x+4))/(x+5) is (4-5x)/(x-1)