Question

The domain of the real valued sine function $f\left(x\right)=2\sin (x-1)$ is $(-\infty ,\infty )$. If true enter 1 else0.

Answer 1

Domain of $x-1$ is all real numbers i.e. $R$

And we know that domain of $\sin f\left(x\right)$ is same as domain of $f\left(x\right)$

Hence domain of $f\left(x\right)=2\sin (x-1)$ is $(-\infty ,\infty )$