What is the domain of f(x)=4cos(1/x) ?

The domain of f(x)=4cos(1/x) is x 0

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domain of f(x)=4cos(1/x)

domain

f (x) = 4 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

- x^{2}

\frac{d}{d}

f (x) = 2 x^{2} - 12 x + 9

f (x) = 2 x + 3 x^{2} + 3 x + 2

5 x + 3

What is the domain of f(x)=4cos(1/x) ?
The domain of f(x)=4cos(1/x) is x<0\lor x>0