Step-by-step explanation:
[tex]y = 6 \tan( \frac{x}{2} ) - 3[/tex]
Set y=0
[tex]0 = 6 \tan( \frac{x}{2} ) - 3[/tex]
[tex]3 = 6 \tan( \frac{x}{2} ) [/tex]
[tex] \frac{1}{2} = \tan( \frac{x}{2} ) [/tex]
[tex] \tan {}^{ - 1} ( \frac{1}{2} ) + \pi = \frac{x}{2} [/tex]
Multiply both sides by 2
[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi = x[/tex]
So the x intercepts of the function is
[tex]2 \tan {}^{ - 1} ( \frac{1}{2} ) + 2\pi[/tex]n
