Question

we are having trouble with a domain question, how would we find the domain of y = the square root of tan x

Answer 1

i needdddd hellppppp p p p

Answer 2

how

Answer 3

The domian is all values of which tan x is positive

Answer 4

remember we cannot have negatives under the square root

Answer 5

so how would it be - infin, to infin

Answer 6

no it wouldnt

Answer 7

0 to infinity

Answer 8

it would be:x=[kpi,kpi+pi/2), \[k \epsilon z\]

Answer 9

what is k

Answer 10

xan u explant howyou got that answer

Answer 11

what values of tan x give us positive values??, where is it negative? use unit circle

Answer 12

Since we are using the unit circle to determine where tan is positive and negative, we have a huge domain , k can represent any number, 0,1,2,3,4,5......

Answer 13

look at this: \[\sqrt{tanx}>0\]

Answer 14

x has to be in the 1sr or 3rd quadrant, since tan is positive in those quadrant

Answer 15

at pi over 2

Answer 16

no , at pi/2 tanx is undefiened

Answer 17

3pi 0ver 2

Answer 18

\[0+k \pi \le x <\pi/2 +k \pi\] for all integers k

Answer 19

satisfied?

Answer 20

yes

Answer 21

satisfied?

Answer 22

want t still help or no

Answer 23

yeah, what else you got

Answer 24

solve the following by factoring and making appropriate sign charts.\[x ^{2}-16>0\]

Answer 25

this is a difference of squares

Answer 26

basically all i need is a sign chart buddy boy

Answer 27

factor it, then see what your signs will be.

Answer 28

then you first have to factor and get the values at which that polynomial is zero buddy boy

Answer 29

im a girllllllllllllllllllllllll genius

Answer 30

okay, how ma i suppose to know that girly

Answer 31

did you factor yet

Answer 32

Once you factor you should get three intervals, that will help you form your preciouse chart

Answer 33

yes x greater than 4

Answer 34

hold on this is a differnece of square you should get (x+4)(x-4)

Answer 35

ok i see now sorry boiut that! so x equals 4 and negaative 4

Answer 36

right, now you must form three intervals

Answer 37

and how do you do that? i have never done sign charts before

Answer 38

look i did it for you girly

Answer 39

thank you im trying to zoom on it

Answer 40

i can see it perfectly

Answer 41

yeah me too, so what do we do with the chart?? plug in random numbers? can u do it exactly how you would do it on paper please?

Answer 42

sure i can spend my time and do you problem exactly as it would look on paper

Answer 43

:)

Answer 44

here you go buddy

Answer 45

awe thank you bud! do you know how to do piecewise functions too?

Answer 46

ill give it a shot

Answer 47

whats the problem?