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

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

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

domain

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

x < 5 or x > 5

Interval Notation

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

Solution steps

Find undefined (singularity) points:

x = 5

The function domain

x < 5 or x > 5

f (x) = \frac{2 x ^{2}}{x ^{3} - 2 x ^{2} - 8 x}

f (x) = \frac{6 x}{x - 2}

2 sin (2 x)

7 x + 7

\frac{7}{\frac{7}{x - 6} - 6}

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