What is the domain of f(x)=(x+5)/(x-1) ?

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

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domain of f(x)=(x+5)/(x-1)

domain

f (x) = \frac{x + 5}{x - 1}

x < 1 or x > 1

Interval Notation

(- \infty, 1) \cup (1, \infty)

Solution steps

Find undefined (singularity) points:

x = 1

The function domain

x < 1 or x > 1

y = - x + 5, (- 1, - 8)

f (x) = \frac{8}{( x - 4 ) ^{3}}

f (x) = \frac{1}{2 x + 4}

(4, 5), (- 2, - 5)

e^{a r c t a n (∣ x ∣)}

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