For no real solution, you must have b^2 - 4ac of the quadratic formula be less than 0.
a = 1; b = 2; c = C
b^2 - 4ac < 0
2^2 - 4(1)(C) < 0
4 - 4C < 0
-4C < -4
C > 1
The only choice greater than 1 is 3.
Answer: the 4th choice, 3
Answer:
-6.5
Step-by-step explanation:
We know the bottom triangle is a 45, 45, 90 triangle, so the hypotenuse is √2 times the value of the legs:
(√2)(√2)
=√4
=2
Now, we can use this to solve for y. The top triangle is a 30, 60, 90 triangle. The side we found above is the side across from the 30 degree angle. The side opposite the 60 degree angle is √3 times the side across the 30 degree angle. Therefore, we can solve for y by multiplying 2 by √3
y=2√3
For this case we have the following equations:
We must find 
By definition of composition of functions we have to:
So:
We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined. That is to say:
Then, the domain is given by [3, ∞)
Answer:
The smallest number that is the domain of the composite function is 3
