How do you find the domain for $f (x) = 2 sin x - 3$ $f(x)= 2sinx-3$ ?

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How do you find the domain for $f (x) = 2 sin x - 3$ $f(x)= 2sinx-3$ ?

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Answer 1 · 2016-01-08T08:29:43

$(- \infty, \infty)$ $(-oo,oo)$ as $sin (x)$ $sin(x)$ is defined over all real numbers.

Explanation:

The domain of $f (x) = 2 sin (x) - 3$ $f(x) = 2sin(x)-3$ is same as that of $sin (x)$ $sin(x)$
The domain of $sin (x)$ $sin(x)$ is $(- \infty, \infty)$ $(-oo,oo)$

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How do you find the domain for $f (x) = 2 sin x - 3$ $f(x)= 2sinx-3$ ?

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