Answer:
1. b. 2. a. 3. a.
Step-by-step explanation:
1. (f + g)x = f(x) + g(x)
= x^2 + 2x + 4
(f + g)(-1) = (f + g)(x) where x = 1 so it is
(-1)^2 + 2(-1) + 4
= 1 - 2 + 4
= 3.
2. We find (f o g)(x) by replacing the x in f(x) by g(x):
= √(x + 1) and
(f o g)(3) = √(3 + 1)
= √4
= 2.
3. (f/g) c = f(x) / g(x)
= (x - 3)/(x + 1)
The domain is the values of x which give real values of (f/g).
x cannot be - 1 because the denominator x + 1 = -1+1 = 0 and dividing by zero is undefined. So x can be all real values of x except x = -1.
The domain is (-∞, -1) U (-1, ∞)
To solve this problem you must apply the proccedure shown below:
1. You have that a <span>grapefruit is 8% heavier than an orange and an apple is 10% lighter than the orange. Therefore, let's give a value to the orange as following:
Orange=1 kg
2. Therefore, you have:
Grapefruit=1 kg+(0.08x1 kg)=1.08 kg
Apple=1 kg-(0.1x1 kg)=0.9 kg
3. Therefore, what</span><span> percentage is the grapefruit heavier than the apple?
%=(0.9/1.08)100-100
%=16.66%
The answer is:</span>16.66%
PEMDAS: distribute the negative to (-2-5x) so it becomes (2+5x)+(-2)=18
Add 2 to both sides: 2+5x=20
Subtract 2: 5x=18
Divide 5: x= 18/5
Answer:
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