Question

How to find the Domain of f(x) = tan(x) - 3 ?

Answer 1

\[domain={R-n \frac{ \pi }{ 2 }} ,where n is an integer.\]

Answer 2

Does the R "All Real Numbers"?

Answer 3

yes

Answer 4

Do you think you could explain how to get the answer? I will be needing to do this for a test. I'm comfortable finding domain and range for sine and cosine.

Answer 5

\[\tan x is notdefined at atx=.....\frac{- \pi }{2},\frac{ \pi }{ 2 },\frac{ 3\pi }{ 2 },.....\]
\[so domain is all real numbers except at x=.....,\frac{ \pi }{ 2 },\frac{ \pi }{ 2 },\frac{ 3 \pi }{2 },....\]