(3x+1)/(x+2) specify any restrictions on the variable.

Question

I'm looking for a second restriction for the denominator x+2, I know one is -2, what is the other?

Thank You.

Answer 1

There is no other restriction on values of x.

x=-2 is the only value of x that makes the fraction undefined,

as you can't divide by zero.

Maybe what you're looking for is a restriction on y or f(x) = (3x+1)/(x+2).

The asymptotes are x=-2 and y=3. Graphically x never = -2 and y never = 3

try to solve the equation (3x+1)/(x+2) =3

it leads to 3x+1 =3x+6

a contradiction 1=6

there is no real value of x that could make (3x+1)/(x+2) = 3

there is a "surreal" value, x= + or - infinity that solves the equation,

but you can only approach infinity, and never reach it.