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

$\left(- \infty , \infty\right)$ as $\sin \left(x\right)$ is defined over all real numbers.
The domain of $f \left(x\right) = 2 \sin \left(x\right) - 3$ is same as that of $\sin \left(x\right)$
The domain of $\sin \left(x\right)$ is $\left(- \infty , \infty\right)$