Question
Determine whether the following statement is true or false.
Given functions f(x) and g(x), the x-coordinate of the point of intersection of two functions is a solution of the equation f(x)=g(x).
(1 point)
***The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.
The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.
The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.
The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.
Given functions f(x) and g(x), the x-coordinate of the point of intersection of two functions is a solution of the equation f(x)=g(x).
(1 point)
***The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.
The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.
The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.
The statement is false because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a false statement results.
Answers
The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f(x)=g(x), a true statement results.
For example, let f(x)= x² and g(x)=2x
Let x = 2, so f(2) = 2² = 4 and g(2) = 2(2) = 4 and thus
f(x)=g(x) if x = 2.
For example, let f(x)= x² and g(x)=2x
Let x = 2, so f(2) = 2² = 4 and g(2) = 2(2) = 4 and thus
f(x)=g(x) if x = 2.
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