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Ann [662]
3 years ago
9

On a coordinate plane, f (x) goes through (negative 5, 6), has a vertex at (0, 1), and goes through (5, 6). G (x) has 2 curves.

A curve opens up and to the right in quadrant 1 and approaches the y-axis and x-axis. A curves opens down and to the left in quadrant 3 and approaches the y-axis and x-axis. Consider the graphs of f (x) = StartAbsoluteValue x EndAbsoluteValue + 1 and g (x) = StartFraction 1 Over x cubed EndFraction. The composite functions f(g(x)) and g(f(x)) are not commutative, based on which observation?
Mathematics
1 answer:
yawa3891 [41]3 years ago
7 0

Answer:

The domains of f(x) and g(x) are different.

Step-by-step explanation:

That was the answer on edgenuity.

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Answer:

  A. (1, -1)

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Step-by-step explanation:

A graph is a plot of all the points that are solutions to an equation.

<u>Part A</u>:

A point will be a solution to two equations if it is a point of intersection of their graphs. The one point that is a solution to both p(x) and g(x) is the one point where their graphs intersect: the red and blue lines cross at (1, -1).

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<u>Part B</u>:

<em>Any other point on the graph p(x)</em> will be another solution of it. One that is near to the point of intersection with g(x) is the point where p(x) crosses the x-axis: (2, 0). Of course, the solution listed in Part A is also a solution to p(x).

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<u>Part C</u>:

The point where the graph of g(x) crosses the graph of f(x) is (0, 3). The x-value that makes g(x) = f(x) is x=0. That is the solution to this equation. (We don't really care what the values of f(0) and g(0) are--just that they are equal.)

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Step-by-step explanation:

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In other words, the y-intercept (0,1) must be present in the table.

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