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

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

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

domain

f (x) = \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{3}{4} x + 2

f (x) = ∣ x ∣ + 4

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

f (x) = \frac{( x + ∣ x ∣ )}{x}

\frac{4 x - ln ( 3 x )}{x}

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