Question 1035633: y=3sec(2x)
Domain:
Range:
y=sec x
Domain:
Range:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! For both, the range is all real numbers. The secant is the reciprocal of the cosine, and the range of the latter is between -1 and 1. The reciprocal of all numbers in between is infinite.
The domain is where x cannot be pi/2 or 3pi/2 or (2n+1)pi/2, for here, the cosine x is 0.
that is the y=sec x domain.
the y=sec (2x) domain is half that, where x cannot be pi/4, 3pi/4 or (2n+1)pi/4.
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