What is the inverse of f(x)=((x+4))/((x+14)) ?

The inverse of f(x)=((x+4))/((x+14)) is (4-14x)/(x-1)

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inverse of f(x)=((x+4))/((x+14))

inverse

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

\frac{4 - 14 x}{x - 1}

Solution steps

y = \frac{x + 4}{x + 14}

Replace

x

with

y

x = \frac{y + 4}{y + 14}

Solve for

y, x = \frac{y + 4}{y + 14}

\frac{4 - 14 x}{x - 1}

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

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

7^{x - 2}

x^{2} - 4 x - 1

f (x) = 1 + \frac{x}{30}

What is the inverse of f(x)=((x+4))/((x+14)) ?
The inverse of f(x)=((x+4))/((x+14)) is (4-14x)/(x-1)