Question

What is the Domain and Range for y=arctan(2X)+pi ??

Answer 1

the domain of any arctan function of any kind is always the set of all real numbers

Answer 2

the range of arctan(b*x) is -pi/2 < y < pi/2

so shifting things up by pi units means the range of y=arctan(2X)+pi is

-pi/2+pi < y < pi/2 + pi

-pi/2+2pi/2 < y < pi/2 + 2pi/2

pi/2 < y < 3pi/2

Answer 3

You are a good teacher!! Thank you.

Answer 4

you're welcome