7. To which set or sets does the number 8.25
1 answer:
Answer:
B
Step-by-step explanation:
Remind what are the elements of all given sets.
Natural numbers are numbers used when counting 1, 2, 3, 4, ...
Whole numbers are numbers 0, 1, 2, 3, 4, ... (natural numbers and 0)
Integers are natural numbers, 0 and negative numbers (see attacged diagram for details).
Rational numbers are numbers that can be written as fractions of integers and natural numbers.
You are given number 8.25. This number can be written as
This number is not a whole number, is not an integer, but is rational because it can be written as fraction.
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Part A
See the image labeled "part A". We'll use the values marked in blue and red for f(2) and g(2) respectively. These values are the function outputs when the input is x = 2.
(f-2g)(x) = f(x) - 2*g(x)
(f-2g)(2) = f(2) - 2*g(2)
(f-2g)(2) = 1 - 2*3
(f-2g)(2) = -5
Answer: -5
=====================================================
Part B
See the image labeled "part B". We'll use the values marked in blue and red for g(-1) and f(0) respectively.
We have to start with g(-1) and then chain it to finding f(0) afterward.
g(-1) = 0
f(g(-1)) = f(0) = 9
Answer: 9
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Part C
See the image labeled "part C". We'll use the values marked in blue and red for g(-2) and g(-3) respectively.
Because g(-2) is the innermost function, it must go first, then g(-3) can go next.
g(-2) = -3
g(g(-2)) = g(-3) = 8
Answer: 8
