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

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

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domain of f(x)= y/(y-6)+(15)/(y+6)

domain

f (x) = \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) = \frac{- 15}{x ^{2} + 5}

y = x + 4, (- 1, 2)

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

(2, 4), (1, - 3)

f (x) = \frac{3}{\frac{3}{x}}

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