Answer:
The value of x is 7 ⇒ answer c
Step-by-step explanation:
* Lets explain how to solve the problem
- The rational expression has a numerator and a denominator
- Ex: f(x)/g(x) is a rational expression where f(x) is the numerator and
g(x) is the denominator
- The fraction is undefined if its denominator is 0
- If g(x) = 0 then the rational expression f(x)/g(x) is undefined
* Lets solve the problem
∵ The rational expression is [tex]\frac{2x+4}{x-7}[/tex]
∴ The numerator is 2x + 4
∴ The denominator is x - 7
- Put the denominator equal zero to find the value of x which makes
the denominator equal zero
∴ x - 7 = 0 ⇒ add 7 to both sides
∴ x = 7
* The value of x is 7
