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Popular >

domain of f(x)=3*sec(2x+pi/2)+2

Solution

domain

f (x) = 3 \cdot sec (2 x + \frac{π}{2}) + 2

Solution

πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

+1

Interval Notation

(πn, \frac{π}{2} + πn) \cup (\frac{π}{2} + πn, π + πn)

Solution steps

Take the denominator(s) of

3 \cdot sec (2 x + \frac{π}{2}) + 2

and compare to zero:

x = πn, x = \frac{π}{2} + πn

Periodicity of

3 \cdot sec (2 x + \frac{π}{2}) + 2 : π

Combine period:

πn \leq x < π + πn

and undefined points.

The domain is

πn < x < \frac{π}{2} + πn or \frac{π}{2} + πn < x < π + πn

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Frequently Asked Questions (FAQ)

What is the domain of f(x)=3*sec(2x+pi/2)+2 ?
The domain of f(x)=3*sec(2x+pi/2)+2 is pin<x< pi/2+pin\lor pi/2+pin<x<pi+pin