Answer:
C) {x| [tex]-4\leq x\leq 4[/tex]}
Step-by-step explanation:
The graphed figure is an 'Ellipse' which has the form,
[tex]\frac{x^{2} }{a^{2} } +\frac{y^{2} }{b^{2} } = 1[/tex]
where [tex]-x\leq a\leq x[/tex] and [tex]-y\leq b\leq y[/tex].
Also, the domain of an ellipse is the range of 'a'
i.e. [tex]-x\leq a\leq x[/tex]
i.e. [tex]-4\leq a\leq 4[/tex]
Hence, the domain is {x| [tex]-4\leq x\leq 4[/tex]}
