What is the domain of f(x)= 9/(x^2-7x) ?

The domain of f(x)= 9/(x^2-7x) is x 7

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domain of f(x)= 9/(x^2-7x)

domain

f (x) = \frac{9}{x ^{2} - 7 x}

x < 0 or 0 < x < 7 or x > 7

Interval Notation

(- \infty, 0) \cup (0, 7) \cup (7, \infty)

Solution steps

Find undefined (singularity) points:

x = 7, x = 0

The function domain

x < 0 or 0 < x < 7 or x > 7

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

f (x) = 25 - x^{2}

f (x) = \frac{( e ^{x} )}{1 - e ^{x}}

x - \frac{1}{x}

f (x) = - 3 x^{2} + 9 x + 5

What is the domain of f(x)= 9/(x^2-7x) ?
The domain of f(x)= 9/(x^2-7x) is x<0\lor 0<x<7\lor x>7