If h(x) is equal to (x^2-4)/(x+2)when x ≠ –2, and h(x) is continuous for all real numbers, then what is the value of h(–2)?
0
–2
–4
2
This is impossible. There is an infinite discontinuity at x = –2.
To find the value of h(-2), we need to substitute -2 into the given function h(x). However, before doing this, we need to verify if the function h(x) is defined at x = -2.
The given function h(x) is defined as (x^2-4)/(x+2) when x is not equal to -2. This means the function is undefined at x = -2 since when we substitute -2 into the function, we would divide by zero.
Therefore, the value of h(-2) is undefined, and option "This is impossible" is the correct answer.