How do you find the domain & range for #f(x)=sqrt(tan(2x+π))#?

1 Answer
Chandra S.
Sep 30, 2015

The range is (- #oo# , #oo# ) and domain is (- #pi/2# , #pi/4# )

Explanation:

For domain and range this must be included in the answer.
Y = #sqrt# tan(2x + #pi#) #=># 0 < tan (2x + #pi# ) < #oo# #=>#
0 < 2x + #pi# <#pi/2# #=># -#pi# < 2x < - #pi# + #pi/2# #=># -#pi# < 2x <#-pi/2# #=>#
-#pi/2# < x < -#pi/4#

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