Question

What is the domain and range of the graph of
2/(x^2-2x-3)

Answer 1

i m trying to solve it

Answer 2

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

Answer 3

\[or, y=\frac{ 2 }{ x ^{2}-3x+x-3 }\]

Answer 4

\[or, y=\frac{ 2 }{ x(x-3)+(x-3) }\]

Answer 5

\[or, y=\frac{ 2 }{ (x+1)(x-3) }\]

Answer 6

actually the value of x is called domain n the value of y is called range

Answer 7

n the denominator never b 0

Answer 8

because the value of y is became undefined by the value of 0 denominator

Answer 9

so the domain will b any real number accept -1 and 3

Answer 10

because\[x+1\neq0\]

Answer 11

\[or, x \neq-1\]

Answer 12

again\[x-3\neq0\]

Answer 13

\[or, x \neq3\]

Answer 14

and y can get any real number

Answer 15

so range will b any real number

Answer 16

if u need more explanation then ask me plz

Answer 17

Thanks!

Answer 18

u r most welcome