What is the inverse of f(x)=((x+16))/(x-13) ?

The inverse of f(x)=((x+16))/(x-13) is (16+13x)/(x-1)

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inverse of f(x)=((x+16))/(x-13)

inverse

f (x) = \frac{( x + 16 )}{x - 13}

\frac{16 + 13 x}{x - 1}

Solution steps

y = \frac{x + 16}{x - 13}

Replace

x

with

y

x = \frac{y + 16}{y - 13}

Solve for

y, x = \frac{y + 16}{y - 13}

\frac{16 + 13 x}{x - 1}

f (x) = 7 - 9 x^{3}

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

f (x) = sec (x)

f (x) = 5 x - 4 + 3

(- 3, - 7), (- 1, - 5)

What is the inverse of f(x)=((x+16))/(x-13) ?
The inverse of f(x)=((x+16))/(x-13) is (16+13x)/(x-1)