Answer:

Step-by-step explanation:
Answer:

Step-by-step explanation:
This is much easier to solve actually since both expressions have the same denominator.
To solve it therefore,just sum the numerators
(x²-4x-2)+(8x+6)
x²+4x+4 Now divide by the common denominator
x²+4x+4/x²-4
Factorize both numerator and denominator
(x+2)(x+2)/(x-2)(x+2)
Cancel out common terms
x+2/x-2
Answer:
(-∞,-4)
Step-by-step explanation:
1. Move like terms together
-4x + 18 ≤ - 2 -9x
Move -9x, the sign changes to a positive
-4x + 18 +9x ≤ -2
Move 18, the sign changes to a negative
-4x + 9x ≤ - 2 -18
2. Combine like terms
-4x+9x becomes 5x
-2-18 becomes -20
The new equation is 5x≤-20
3. Divide both sides by 5
5x÷5=x
-20÷5=-4
x≤-4
4. Write in interval notation
To find where the second derivative of the function changes sign, from negative to positive, or vice-versa. So, we find the second derivative of the given function.