Question

For which rational expression is –2 an excluded value of x?

a.(x-3)/x^2-4

b.(x-3)/x^2+4

c.(x-4)/x^2-3

d.(x+4)/x^2-3

Answer 1

option a is the answer

Explanation:

put the value of x in each expression as x = -2

you'll see that in option a the expression becomes

`\frac{x - 3}{ {x}^(2) - 4} = \frac{ - 2 - 3}{ {( - 2)}^(2) - 4} \\ = ( - 5)/(4 - 4) \\ = ( - 5)/(0)`

which is not defined. hence -2 is excluded value