Question

If ( f(x) = {x^2 + 4x - 8}/{x - 2} ), find ( f(-2) ).
a) 2
b) 4
c) 6
d) 8

Answer 1

If
`( f(x) = {x^2 + 4x - 8}/{x - 2} )`, Then
`( f(-2) )` is 2. Thus, the correct option is A.

Step-by-step explanation:

To find f(-2) in the given function
`\( f(x) = (x^2 + 4x - 8)/(x - 2) \)`, substitute x = -2 into the function:

`\[ f(-2) = ((-2)^2 + 4(-2) - 8)/(-2 - 2) \]\[ f(-2) = (4 - 8 - 8)/(-4) \]\[ f(-2) = (-12)/(-4) \]\[ f(-2) = 3 \]`

Therefore, f(-2) = 3 , and none of the provided answer choices (a, b, c, d) match the correct result.

It's important to note that the correct answer does not align with the given options, indicating a possible error in the question or options. Double-checking the calculations and the given function is crucial to confirm the accuracy of the solution.

In summary, the correct value of f(-2) is 3, but none of the provided answer choices accurately represents this result.