identify the asymptotes in the equation, h(x) = 4 sec( π/ 4 (x + 1))

Question

identify the asymptotes in the equation, h(x) = 4 sec( π/ 4 (x + 1)).Enter your answers as a comma-separated list of equations

Answer 1

secant is reciprocal of cosine, so when cos( pi/ 4 (x + 1)) is zero, that will be the occasion for a Vertical Asymptote.

 

this means we must set (pi/ 4 (x + 1)) = pi/2 + k(pi) where k is any integer.

 

Solve for x.  Note (x:1) is not in the denominator.