Question

find the domain and range. g(x)=2/x-1.

Answer 1

Would the domain be all real numbers, but x cannot equal 1

Answer 2

yeah, correct

Answer 3

I just ned help with range

Answer 4

okay, let me think
just a moment

Answer 5

ok:)

Answer 6

May I help??

Answer 7

feel free to join in always @waterineyes

Answer 8

For finding range we have to find x in terms of g(x)..

Answer 9

hmm

Answer 10

oops I made a mistake

Answer 11

Put g(x) = y for simplicity:

\[(x-1)y = 2 \implies xy - y = 2 \implies xy = 2+y \implies x = \frac{2+y}{y}\]

Now you know what y cannot take..

Answer 12

Have you got or not??

Answer 13

y cannot be 2?

Answer 14

No dear check for denominator..

Answer 15

Im not sure,,

Answer 16

It is just like as you have found Domain..

y cannot be 0.

Right or not??

Answer 17

yes

Answer 18

so my range is just y can't be o

Answer 19

0

Answer 20

@waterineyes good work

Answer 21

Yes all real except 0..

Answer 22

thanks so much . I'm posting another one now so if you don't mind, plz look! thanks!

Answer 23

Remember:

For Domain, we find x..

For range, we find y or f(x)..

Answer 24

@ash2326 just learning it from you..