What is the domain of {sin(x):-4pi = 0} ?

The domain of {sin(x):-4pi = 0} is x>-4pi

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domain of {sin(x):-4pi<x<0,2x:x>= 0}

domain

{sin (x) : - 4 π < x < 0, 2 x : x \geq 0}

x > - 4 π

Interval Notation

(- 4 π, \infty)

Solution steps

Domain of

{sin (x) : - 4 π < x < 0} : - 4 π < x < 0

Domain of

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

Combine domains of all the pieces:

- 4 π < x < 0 or x \geq 0

x > - 4 π

f (x) = lo g_{10} (x - 2)

f (x) = lo g_{10} (x^{2} - 4)

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

5 x - 3

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

What is the domain of {sin(x):-4pi<x<0,2x:x>= 0} ?
The domain of {sin(x):-4pi<x<0,2x:x>= 0} is x>-4pi