What is the domain of f(x)=(x+10)/(9-x) ?

The domain of f(x)=(x+10)/(9-x) is x 9

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domain of f(x)=(x+10)/(9-x)

domain

f (x) = \frac{x + 10}{9 - x}

x < 9 or x > 9

Interval Notation

(- \infty, 9) \cup (9, \infty)

Solution steps

Find undefined (singularity) points:

x = 9

The function domain

x < 9 or x > 9

y = sin (x) + 3 cos (x)

y = - 7

10

f (x) = \frac{5 x ^{2} - 2 x - 10}{x ^{2} - 5 x + 6}

What is the domain of f(x)=(x+10)/(9-x) ?
The domain of f(x)=(x+10)/(9-x) is x<9\lor x>9