What is the domain of f(x)=(x+1)/(6-x) ?

The domain of f(x)=(x+1)/(6-x) is x 6

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domain of f(x)=(x+1)/(6-x)

domain

f (x) = \frac{x + 1}{6 - x}

x < 6 or x > 6

Interval Notation

(- \infty, 6) \cup (6, \infty)

Solution steps

Find undefined (singularity) points:

x = 6

The function domain

x < 6 or x > 6

f (x) = 6 cos (3 x - \frac{π}{4})

f (x) = 3 x^{2} - 65 x + 1000

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

f (x) = x + 8

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

What is the domain of f(x)=(x+1)/(6-x) ?
The domain of f(x)=(x+1)/(6-x) is x<6\lor x>6