Question

Please help me out! :)
What's the technique in getting this thing..

Find the domain and range of 3x - 2y = 6.

Answer 1

x and y belongs to real numbers?

Answer 2

how did you say so? :)

Answer 3

no iam aksing is there any condition given on x and y?

Answer 4

its a linear eq so domain=all real x, range=all real y

Answer 5

if they are real numbers then u get infinite number of pairs as solutions that is domain belongs to real numbers

Answer 6

@sidsiddhartha what if question would have x and y belonging to integers then our domain would have been restriced

Answer 7

sorry. :( i don't understand.

Answer 8

yeah @cody_123

Answer 9

@itsmeeQUENNIE in short domain are all the values that x can take so that y is real

Answer 10

if you i\[x=\frac{ 2y+6 }{ 3 }\]solate x like

Answer 11

sorry i did a mistake its the other way round u have to isolate y

Answer 12

\[y=\frac{ 3x-6 }{2 }\]

Answer 13

u can easily see that for every real value of x y is defined

Answer 14

and hence domain belongs to all real numbers

Answer 15

for range its the other way round like u have to check for what values of y x is defined which comes out to be real numbers in this question

Answer 16

ahhh.. if you're going to solve that kind of question, how you will solve that? is there any formulas or techniques you can share with me? :)

Answer 17

there is only 1 approach for this

Answer 18

that is if u want to find out domain check out the values of x for which y is defined
and for range check out the values of y for which x is defined

Answer 19

ahhh. in that question only?

Answer 20

yes

Answer 21

ahh. eh, how about others?