11 and 12 and the work plsss
1 answer:
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Remember that the area of a rectangle is the length of the rectangle multiplied by the width of the rectangle.
In this case, we could say (where is the area of the rectangle):
Substituting the values the problem gave us for and
, we can find the formula for
in terms of
, which is:
The formula for the area of the rectangle would be A(x) = 10x³ - 20x² + 65x.
The statement that -6 is in the domain of f(g(x)) is true
<h3>Complete question</h3>If f(x) = -2x + 8 and g(x) = , which statement is true?
- -6 is in the domain of f(g(x))
- -6 is not in the domain of f(g(x))
We have:
f(x) = -2x + 8
Start by calculating the function f(g(x)) using:
f(g(x)) = -2g(x) + 8
Substitute
Set the radicand to at least 0
Subtract 9 from both sides
This means that the domain of f(g(x)) are real numbers greater than or equal to -9. i.e. -9, -8, -7, -6, ...........
Hence, the statement that -6 is in the domain of f(g(x)) is true
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