The graph of g(x)=secx has vertical asymptotes whereversinx is undefinedsecx=0secx=∞cosx=0

The correct option is D
The function has vertical asymptotes wherever
cos x = 0
Explanation:Given that
[tex]g(x)=\sec x[/tex]Note that
[tex]\sec x=\frac{1}{\cos x}[/tex]This has vertical asymptotes wherever the denominator is zero, that is;
[tex]\cos x=0[/tex]