Answer:
g(x) approaches negative infinity
Step-by-step explanation:
g(x) = -x² + 2x + 4
limit at g(x) approaches infinity = -(∞)² + 2(∞) + 4 = -∞
I can't solve for f(x) because you didnt give me f(x)
We have been given the function 
Convert this expression in difference of cubes form.

Now, in order to find the factors, we can apply the difference of cubes form, which is given by

On applying this formula, we get

Hence, the factors of the given expression are

Out of the given option, A is the correct option.
x^5 − 4 is the required factor.
Number of people adopted a mantee through Fia's foundation = 40
30% more are people adopted a manatee
Number of people adopted = 30% of 40 = (0.30)(40) = 12
People adopted a manatee this year = number of people + 30% of 40
People adopted a manatee this year = 40 + 12
People adopted a manatee this year = 52
14 trout out of 50 total fish. The total amount of fish in the lake is 7500. Let’s make this into a proportion.
14/50=x/7500
x represents how much trout is in the lake, we don’t know yet, but we’ll find out.
First, cross multiply.
14*7500=105000
50*x=50x
Now let’s turn this into an equation.
50x=105000
Divide both sides by 50
50x/50=x
105000/50=2100
x=2100
Out of the 7500 fish in the lake, 2100 were trouts.
For 3x + 12 + x, do like terms:
4x + 12
For 4(3 + x), multiply
12 + 4x
They are both the same, just written in different ways. One is adding like terms and the other is multiplying with parentheses. Even though it may be switched around, it is still the same.
Hope this helps :)