4).
f(x) = is negative if and only if
Explanation
By taking factors of numerator and denominator, the function can be written as
f(x) =
The function will be negative if and only if one or three of the factors are negative.
When x < -5, all factors are negative. If -5 < x < - 2, only (x +5) is positive. If 3 < x < 9, only (x – 9) is negative.
Thus, f(x) = is negative if and only if -5 < x < -2 or 3 < x < 9
Ans (1)