Determine the input value for which the statement f(x) = g(x) is true. From the graph, the input value is approximately_______ .
f(x) = 3 and g(x) = x – 2 3 = x – 2 5 = x The x-value at which the two functions’ values are equal is______ .
2 answers:
For this inquiry, we are presented with a graph, and we're tasked with determining the x-coordinate of where the two lines intersect.
An examination of the graph indicates that the input value is around 3.3.
In the graph,
To derive g(x), we need the slope and y-intercept.
The slope represents the ratio of vertical change to horizontal change.
In this case, the rise is 3 units and the run is 2 units. The line intersects the y-axis at -2.
Thus, the equation for g(x) becomes
Next, we will perform
Substituting the values of both functions will yield
By adding 2 to both sides, we have
We will apply cross multiplication
Thus, the approximate input value is 3.3.
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