The two real values that are not in the domain of the composition are x = 2 and x = -2.
<h3>
What two numbers are not in the domain of f°g?</h3>
Here we have:
f(x) = 1/x
g(x) = x^2 - 4
The composition is:
f°g = f(g(x)) = 1/(x^2 - 4)
The two values that are not in the domain are the values of x such that g(x) = 0, because we can't divide by zero.
g(x) = 0 = x^2 - 4
4 = x^2
±√4 = x
±2 = x
So g(x) = 0 when x = 2 or x = -2, so these are the two real values that are not in the domain of f°g.
If you want to learn more about domains:
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Answer:
A. 1.65 k = 48
B. 105
Step-by-step explanation:
- If we name "k" the amount of apples that Kayla has, and "r" the amount of apples thata Richard has, we know that r + k =48 (the two of them together have 48 apples).
- In addition, we know that Kayla has 35% more apples than Richard. This means that k (1-0.35) = r (the apples of Richard are 0.35 % smaller than the apples of Kayla). Then 0.65 k = r
- Then, taking these two considerations together, r + k= 48 and 0.65 k= r, imply 0.65 k + k = 48 (I just replace the second equation into the first one). Which finally means that k= 29 (and r = 19 because r+ k=48).
- If Kayla has 162 apples, and according previous statements, she has 35% more apples than Richard, this means that 0.65 k= r, therfore if k=162, r= 162 x 0.65 = 105 (Richar has 105 apples).
52%
52 of 100 blocks are colored
