Simplify and state the non permissble vaules

4x/x+2 + 3/x-1

To simplify the expression, we need to find a common denominator for the two fractions involved:

The common denominator for x+2 and x-1 is (x+2)(x-1).

Now, we can rewrite the expression with the common denominator:

(4x(x-1) + 3(x+2))/(x+2)(x-1)

Simplifying the numerator:

(4x^2 - 4x + 3x + 6)/(x+2)(x-1)

Combining like terms:

(4x^2 - x + 6)/(x+2)(x-1)

There are no non-permissible values for this expression since it's defined for all real numbers.