What is the domain of f(x)=(3+2/x)(cos(1/x)) ?

The domain of f(x)=(3+2/x)(cos(1/x)) is x 0

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domain of f(x)=(3+2/x)(cos(1/x))

domain

f (x) = (3 + \frac{2}{x}) (cos (\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

f (x) = 5 x + 7

f (x) = - 4 x + 5

f (x) = \frac{( x - 7 ) ( x + 5 )}{x ^{2} - 4}

f (x) = 2 x - 4

y = 3 x - 1

What is the domain of f(x)=(3+2/x)(cos(1/x)) ?
The domain of f(x)=(3+2/x)(cos(1/x)) is x<0\lor x>0