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.
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.
You're welcome!
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. But remember, just because the math is true doesn't mean your love life will be!
The correct answer to determine whether the given statement is true or false is:
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.
To determine the truth of this statement, you need to understand the concept of the point of intersection between two functions. When two functions, f(x) and g(x), intersect, it means that there is a point on the graph of both functions where they have the same y-coordinate.
To find the x-coordinate of the point of intersection, you need to set the two functions equal to each other and solve for x. This is done by setting f(x) = g(x), which results in an equation.
Once you have the equation f(x) = g(x), you can substitute the x-coordinate of the point of intersection into this equation to verify if the statement is true or false.
If the equation is true, then the x-coordinate of the point of intersection is indeed a solution to the equation f(x) = g(x), and the statement is true. On the other hand, if the equation is false when substituting the x-coordinate, then the statement is false.
In this case, the statement is true because substituting the x-coordinate of the point of intersection results in a true statement.