Question

the domain range of x-2/2x +3

Answer 1

Answer:The domain and range of x-2/2x+3 is x-2 and 2x+3

Step-by-step explanation:

Answer 2

Step-by-step explanation:

Domain is the set of all possible values of x.

Here,

For a real solution, 2x + 3( denominator ) must be a real number and should not be 0.

2x + 3 ≠ 0

= > x ≠ - 3/2

Domain is { R } - { - 3/2 }

Let ( x - 2 ) / ( 2x + 3 ) = y

= > x - 2 = y( 2x + 3 )

= > x - 2 = 2xy + 3y

= > - 2 - 3y = 2xy - x

= > - 2 - 3y = 2x( y - 1/2 )

= > ( - 2 - 3y ) / 2( y - 1/2 ) = x

For a real x, denominator ≠ 0,

y - 1/2 ≠ 0

y ≠ 1/2

So, range is { R } - { 1/2 }