Answer:
x^2+2x+2
Step-by-step explanation:
If the roots of the equation are -1\pm i, then by the zero product rule:

You can confirm this with the quadratic equation:

Hope this helps!
Answer:
C. All real numbers except 3/4
Step-by-step explanation:
We are given


Firstly, we will find f/g

Domain:
We know that domain is all possible values of x for which any function is defined
so, we know that denominator of any function can not be zero
so, firstly we set denominator =0
and then we can solve for x

Add both sides by 3



so, this function is defined for all values of x except at

Domain will be
All real numbers except 3/4
Answer:

Step-by-step explanation:

When bases are same and it is multiplication, then add the exponents.


Apply rule : 

Answer:
Step-by-step explanation:
If we write the inequality out, we get this:
x <1/4
(
3
x
+
4
)
Now we just need to solve for x. Multiplying both sides by 4 yields:
4
x
<
3
x
+
4
Subtract 3x from both sides:
x
<
4
So any number less than 4 will work!