What is the domain of f(x)=(x+5)/(6-x) ?

The domain of f(x)=(x+5)/(6-x) is x 6

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domain of f(x)=(x+5)/(6-x)

domain

f (x) = \frac{x + 5}{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) = \frac{10}{( 3 x - 1 ) ^{2}}

f (x) = 5 x - 4

2 x - 7

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

\frac{3 x}{7 x - 8}

What is the domain of f(x)=(x+5)/(6-x) ?
The domain of f(x)=(x+5)/(6-x) is x<6\lor x>6