fin set of values
3x/x+2
To find the set of values for the expression 3x/(x + 2), we need to consider the domain - the values of x that are valid for the function. In this case, we need to find the values of x that make the denominator (x + 2) non-zero since division by zero is undefined.
To determine when the denominator is zero, we set it equal to zero and solve for x:
x + 2 = 0
Subtract 2 from both sides to isolate x:
x = -2
Therefore, we have determined that the value -2 makes the denominator (x + 2) zero. Hence, -2 is not a valid value for x in the expression 3x/(x + 2).
For all other values of x, the expression is defined. So, the set of values for which 3x/(x + 2) is defined is:
All real numbers except x = -2.