What is the inverse of f(x)=(x+5)/(x+14) ?

The inverse of f(x)=(x+5)/(x+14) is (5-14x)/(x-1)

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inverse of f(x)=(x+5)/(x+14)

inverse

f (x) = \frac{x + 5}{x + 14}

\frac{5 - 14 x}{x - 1}

Solution steps

y = \frac{x + 5}{x + 14}

Replace

x

with

y

x = \frac{y + 5}{y + 14}

Solve for

y, x = \frac{y + 5}{y + 14}

\frac{5 - 14 x}{x - 1}

f (x) = \frac{( 9 )}{x + 8}

\frac{d}{d} 3 x^{2} + 4

- \frac{2}{3} x + 4

f (x) = 1 - x + 4

3.2

What is the inverse of f(x)=(x+5)/(x+14) ?
The inverse of f(x)=(x+5)/(x+14) is (5-14x)/(x-1)