What is the domain of f(x)=(x-3)/(x-7) ?

The domain of f(x)=(x-3)/(x-7) is x 7

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domain of f(x)=(x-3)/(x-7)

domain

f (x) = \frac{x - 3}{x - 7}

x < 7 or x > 7

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 7

The function domain

x < 7 or x > 7

- 9 x^{\frac{1}{2}} + x^{\frac{3}{2}} = 16

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

f (x) = (x - 7)^{\frac{1}{3}}

f (x) = - x^{2} - 6 x + 1

y = \frac{x}{x ^{3} - x + 5}

What is the domain of f(x)=(x-3)/(x-7) ?
The domain of f(x)=(x-3)/(x-7) is x<7\lor x>7