What is the domain of f(x)=(8-x)/(x^2-7x) ?

The domain of f(x)=(8-x)/(x^2-7x) is x 7

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domain of f(x)=(8-x)/(x^2-7x)

domain

f (x) = \frac{8 - x}{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

f (x) = 7 x

(12), (14)

f (x) = x^{3} - 2 x^{2} + x + 13

y = - 1 x + 2

f (x) = 4 x - 1

What is the domain of f(x)=(8-x)/(x^2-7x) ?
The domain of f(x)=(8-x)/(x^2-7x) is x<0\lor 0<x<7\lor x>7