Final answer:
The value of the rational expression (6-x)/x when x=2 is calculated by substituting 2 for x, simplifying, and obtaining the value of 2.
Step-by-step explanation:
Calculating the Value of a Rational Expression
To find the value of the rational expression (6-x)/x when x=2, we simply substitute the value of x into the expression:
Substitute x with 2: ((6-2)/2)
Simplify the expression: (4/2)
Calculate the result: 2
After evaluating the expression with x=2, the value obtained is 2. Given the options -7, -9, 9, and 7, none match the result we calculated. It is important when solving rational expressions to substitute all occurrences of the variable and simplify according to the order of operations.