What is the inverse of f(x)=((x+17))/((x-14)) ?

The inverse of f(x)=((x+17))/((x-14)) is (17+14x)/(x-1)

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inverse of f(x)=((x+17))/((x-14))

inverse

f (x) = \frac{( x + 17 )}{( x - 14 )}

\frac{17 + 14 x}{x - 1}

Solution steps

y = \frac{x + 17}{x - 14}

Replace

x

with

y

x = \frac{y + 17}{y - 14}

Solve for

y, x = \frac{y + 17}{y - 14}

\frac{17 + 14 x}{x - 1}

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

y = x^{2} - 7

f (x) = - x^{4} - 7 x^{6} + 2 x^{2}

f (x) = - 2 x^{2} - 8 x + 2

x + 4 y = 4

What is the inverse of f(x)=((x+17))/((x-14)) ?
The inverse of f(x)=((x+17))/((x-14)) is (17+14x)/(x-1)