Question

y=2/x , Find the range of the function given that the domain of the function is all real numbers x, except x ≠ 0 .

Answer 1

i think its y>0

Answer 2

\[f(x)=y=2/x, x \neq 0\]

Answer 3

range means the possible y values corresponding to x

Answer 4

{2/x, x not eqaul to 0} so it will be R\{0}, where R is the set of all real numbers

Answer 5

what does R/{0}

Answer 6

mean

Answer 7

all real numbers except 0

Answer 8

so if y is all real numbers except 0 x would be all real numbers except 0 to?

Answer 9

yes... it is given in the question

Answer 10

ok so the answer is 2/{0} right , sry for not getting it

Answer 11

Wait... let me explain you properly

Answer 12

ok

Answer 13

see the set of all x values is the domain.

Answer 14

and the set of all y values is the range

Answer 15

Here y=2/x and x is not 0. So obviously y cannot be zero because 2 and x are both non-zero

Answer 16

ok so the range (the answer) is any real number not 0, am i right?

Answer 17

correct

Answer 18

since x is real, 2/x is also real

Answer 19

okay thank you

Answer 20

and will obviously contain all the values except 0

Answer 21

So here the range and domain are the same

Answer 22

ahh right

Answer 23

thank you so much