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

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

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

domain

f (x) = 3 cos (\frac{1}{x}) + 2

x > 0

Interval Notation

(0, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 0

Find undefined (singularity) points:

x = 0

Combine real regions and undefined points for final function domain

x > 0

y = 3 x + 5

x^{2} + 2 x - 1

100 - x^{2}

f (x) = \frac{t}{2}

\frac{3}{b - 3}

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