What is the inverse of f(x)=(x+17)/(x-15) ?

The inverse of f(x)=(x+17)/(x-15) is (17+15x)/(x-1)

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inverse of f(x)=(x+17)/(x-15)

inverse

f (x) = \frac{x + 17}{x - 15}

\frac{17 + 15 x}{x - 1}

Solution steps

y = \frac{x + 17}{x - 15}

Replace

x

with

y

x = \frac{y + 17}{y - 15}

Solve for

y, x = \frac{y + 17}{y - 15}

\frac{17 + 15 x}{x - 1}

f (x) = \frac{7}{( x - 4 ) ^{2}}

x^{2} + y^{2} = 4

x^{3} - 9 x^{2} + 15 x + 25

f (x) = \frac{( x ^{2} - 25 )}{5 x - 9}

y = e^{x}

What is the inverse of f(x)=(x+17)/(x-15) ?
The inverse of f(x)=(x+17)/(x-15) is (17+15x)/(x-1)