x2+9x+18x / 3+2x^2−3x Determine what value(s), if any, must be excluded.

Answer 1

As written (without parenthesis), there are no domain restrictions because the

function is x^2 + 9 + 18x/3 + 2x^2 - 3x = x^2 + 9 + 6x + 2x^2 - 3x = 3x^2 + 3x + 9

and there is no denominator

Using parenthesis, 3 + 2x^2 - 3x appears in the denominator.

Cannot have 2x^2 - 3x + 3 = 0

[ 3 +or- sqrt ( 9 - 4*2*3)] / 4 =

[ 3 +or- sqrt( 9 - 24)]/ 4 =

[ 3 +or- sqrt(-15)]/4

[ 3 +or- i*sqrt(15)]/4