£40,000 is invested at 8% p.a. If interest is
1 answer:
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Values of the composite function:
Step-by-step explanation:
Given two functions f(x) and g(x), their composite function is given by
Which means using the output value of g(x) as input for f(x).
Let's start by computing
First, we compute the value of f(-1), which is (from the graph)
f(-1) = 1
Now we use this value as input into g(x); we notice that at x = 1, the value of g(x) is 6, therefore:
Now we evaluate
First, we compute the value of f(0), which is (from the graph)
f(0) = 0
Now we use this value as input into g(x); at x = 0, the value of g(x) is 7, therefore:
Now we evaluate
First, we compute the value of g(-1), which is (from the graph)
g(-1) = 5
Now we use this value as input into f(x); at x = 5, the value of f(x) is 3, therefore:
Finally we evaluate
First, we compute the value of g(4), which is (from the graph)
g(4) = 4
Now we use this value as input into f(x); at x = 4, the value of f(x) is 2, therefore:
Learn more about composite functions:
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The area of a circle is \pi r^2, where r is the radius of the circle. The diameter of a circle is the length of a line that passes through the center of the circle and stops at the perimeter of circle. The radius of a circle is half the diameter. Divide the diameter by 2 to find the radius.
1. 2.8 m / 2 = 1.4 m
2 .
: Plug in the value we just found for r.
3.
: Use the order of operations (PEMDAS).
4.
The area of the circle is equal to
1. 2.8 m / 2 = 1.4 m
2 .
3.
4.
The area of the circle is equal to