What is the domain of y= 1/(x-2)+6 ?

The domain of y= 1/(x-2)+6 is x 2

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domain of y= 1/(x-2)+6

domain

y = \frac{1}{x - 2} + 6

x < 2 or x > 2

Interval Notation

(- \infty, 2) \cup (2, \infty)

Solution steps

Find undefined (singularity) points:

x = 2

The function domain

x < 2 or x > 2

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

\frac{x ^{2} + 13 x + 42}{x ^{2} - 3 x - 28}

\frac{( 12 x - 4 )}{( 7 - 6 x )}

\frac{1 - 3 a}{7}

y = (\frac{17}{21})^{x}