The highway mileage m in miles per gallon for a compact car is approximated by m(s) = -0.025s2 + 2.45s - 30, where s is the spee
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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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Answer:
OR
Let's solve the equation step-by-step:
First, you must find the square root:
x = ±
We know that 10 × 10 = 100 and -10 x -10 is 100
that means that the square root is either 10 or -10
And we also know that
are both 100
meaning that x = OR