Question

Find the domain of 4tan(2x)=f(x)

Answer 1

the domain of tan x is (-pi/2 +pi*n , pi/2 + pi/n)

Answer 2

multiplying x by 2 shrinks the domain by 1/2

Answer 3

why are there 2 answers? or is it a coordinate?

Answer 4

what do you mean 2 answers

Answer 5

Like you said (-pi/2 +pi*n , pi/2 + pi/n), but I thought the domains are normally like (-pi/2+pi)*n or (pi/2)+(pi/n)

Answer 6

I actually was giving an interval

Answer 7

domain of tan x is

open interval: (-pi/2 +pi*n , pi/2 + pi/n)

or

-pi/2 +pi*n < x < pi/2 + pi/n

Answer 8

n can be any integer

Answer 9

Oh okay sorry we've never gone over these. Thanks!

Answer 10

no problem :)

Answer 11

here is picture of the graph
https://www.desmos.com/calculator/hzhrlvzuvp

Answer 12

note that the 4 in front does not affect the domain

Answer 13

you can put a 4 in, it just makes the graph steeper