n 44
chhetri a noob phathau vhanako science and technology
Answer: Option B
2 is NOT in the domain of f ° g
Step-by-step explanation:
First we must perform the composition of both functions:
If and not
The domain of the composite function will be all real numbers for which the term that is inside the root is greater than zero. When x equals 2, the expression within the root is less than zero
The root of -7 does not exist in real numbers, therefore 2 does not belong to the domain of f ° g
The answer is Option B.
<em>Note. If </em>
So
And 2 belongs to the domain of the function
Answer:
You'll need 2.8 gallons of the 80% solution.
Step-by-step explanation:
Let the volume of 30% alcohol =x gallons
Then the volume of 80% alcohol =(14-x) gallons
Since we want to obtain a 40% alcohol solution, we have:
0.3x+0.8(14-x)=0.4(14)
0.3x+11.2-0.8x=5.6
0.8x-0.3x=11.2-5.6
0.5x=5.6
x=11.2
Therefore, the volume of 80% alcohol
=14-11.2
=2.8 gallons
You'll need 2.8 gallons of the 80% solution.
Answer:
yes and no
Step-by-step explanation:
Substitute the given values for x into the equationand if the value obtained is equal to the right side then it is a solution.
(a)
x + 7 = 5 + 7 = 12 ← True , thus x = 5 is a solution
(b)
2x - 3 = 2(7) - 3 = 14 - 3 = 11 ≠ 10, thus x = 7 is not a solution