What is the domain of f(x)=(x-3)/(x-4) ?

The domain of f(x)=(x-3)/(x-4) is x 4

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domain of f(x)=(x-3)/(x-4)

domain

f (x) = \frac{x - 3}{x - 4}

x < 4 or x > 4

Interval Notation

(- \infty, 4) \cup (4, \infty)

Solution steps

Find undefined (singularity) points:

x = 4

The function domain

x < 4 or x > 4

y = \frac{x ^{2}}{1 + x ^{2}}

f (x) = \frac{x}{x ^{2} + 7}, - 6 \leq x \leq 0

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

f (x) = \frac{6}{x - 6}

y = \frac{6}{( 8 - x ) - 2}

What is the domain of f(x)=(x-3)/(x-4) ?
The domain of f(x)=(x-3)/(x-4) is x<4\lor x>4