What is the domain of {sin(x):x = 0} ?

The domain of {sin(x):x = 0} is -infinity <x<infinity

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domain of {sin(x):x<0,2x:x>= 0}

domain

{sin (x) : x < 0, 2 x : x \geq 0}

- \infty < x < \infty

Interval Notation

(- \infty, \infty)

Solution steps

Domain of

{sin (x) : x < 0} : x < 0

Domain of

{2 x : x \geq 0} : x \geq 0

Combine domains of all the pieces:

x < 0 or x \geq 0

- \infty < x < \infty

f (x) = lo g_{5} (\frac{x + 3}{x - 3})

f (x) = 1 0^{x^{2}} + lo g_{10} (1 - 2 x)

f (x) = - \frac{1}{2} x^{2} - 2 x + 6

e^{x} + 3

f (x) = \frac{2 x}{4 x - 8}

What is the domain of {sin(x):x<0,2x:x>= 0} ?
The domain of {sin(x):x<0,2x:x>= 0} is -infinity <x<infinity