What is the domain of f(y)= 1/((y-2)+(y-8)) ?

The domain of f(y)= 1/((y-2)+(y-8)) is y 5

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domain of f(y)= 1/((y-2)+(y-8))

domain

f (y) = \frac{1}{( y - 2 ) + ( y - 8 )}

y < 5 or y > 5

Interval Notation

(- \infty, 5) \cup (5, \infty)

Solution steps

Find undefined (singularity) points:

y = 5

The function domain

y < 5 or y > 5

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

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

\frac{- 1}{2 5 - x}

f (x) = 1 - \frac{9}{x ^{2}}

f (x) = \frac{x - 7}{x ^{2} + 14 x + 49}

What is the domain of f(y)= 1/((y-2)+(y-8)) ?
The domain of f(y)= 1/((y-2)+(y-8)) is y<5\lor y>5