What is the domain of f(x)=6-x+1/x ?

The domain of f(x)=6-x+1/x is x 0

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domain of f(x)=6-x+1/x

domain

f (x) = 6 - x + \frac{1}{x}

x < 0 or x > 0

Interval Notation

(- \infty, 0) \cup (0, \infty)

Solution steps

Find undefined (singularity) points:

x = 0

The function domain

x < 0 or x > 0

\frac{1}{x} - 4

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

y - 4 = 3 (x - 3)

2 x + 3 y + 1 = 0

y = 4