What is the domain of f(x)=(6-x)/(x-4) ?

The domain of f(x)=(6-x)/(x-4) is x 4

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domain of f(x)=(6-x)/(x-4)

domain

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

\frac{10 x ^{2} + x - 10}{x ^{2} - 1}

f (x) = 4 - x - x^{2}

x^{3} - 12 x^{2} + 36 x + 1

f (x) = x^{2} - 12 x + 36

f (x) = 8 x^{3} - 5

What is the domain of f(x)=(6-x)/(x-4) ?
The domain of f(x)=(6-x)/(x-4) is x<4\lor x>4