Determine the input value for which the statement f(x) = g(x) is true. from the graph, the input value is . f(x) = 3 and g(x) = x – 2 3 = x – 2 5 = x the x-value at which the two functions’ values are equal .

In this question , we have a graph given, and we have to find the x coordinate of the intersection point .

From the graph , the input value is approximately 3.3 .

In the graph,

And for g(x), we need the slope and y intercept .

Slope is the ratio of rise and run .

Here rise equals 3 units and run equals 2 units. And the graph touch the y axis at -2 .

So the equation of g(x) is

We need to do

Substituting the values of the two functions, we will get

Adding 2 to both sides

Cross multiplication

So the input value is 3.3 approx

boxplot e is the answer

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