What is the domain of y/(y-6)+(15)/(y+6) ?

The domain of y/(y-6)+(15)/(y+6) is y 6

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domain of y/(y-6)+(15)/(y+6)

domain

\frac{y}{y - 6} + \frac{15}{y + 6}

y < - 6 or - 6 < y < 6 or y > 6

Interval Notation

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

Solution steps

Find undefined (singularity) points:

y = 6, y = - 6

The function domain

y < - 6 or - 6 < y < 6 or y > 6

f (x) = 2 x^{2} - 3

y = - 2 x^{2} + 4 x + 7

f (x) = \frac{( x - 4 )}{( 3 x ^{2} + 5 x - 2 )}

f (x) = \frac{10 x}{x + 1}

f (x) = lo g_{10} (x)

What is the domain of y/(y-6)+(15)/(y+6) ?
The domain of y/(y-6)+(15)/(y+6) is y<-6\lor-6<y<6\lor y>6