Question$\cos x=2$
13. [T2] State the domain of the function $y=3 \tan \left[2\left(x+\frac{\pi}{4}\right)\right]+1$

Studdy Solution
State the domain of the function by excluding these asymptotes:
The domain of the function is all real numbers except where the vertical asymptotes occur. Therefore, the domain is:
$$x \in \mathbb{R} \setminus \left\{ \frac{n\pi}{2} \mid n \in \mathbb{Z} \right\}$$
The domain of the function $y = 3 \tan \left[2\left(x+\frac{\pi}{4}\right)\right] + 1$ is all real numbers except $x = \frac{n\pi}{2}$ for any integer $n$.