Question

algebra i with probability young ic qtr a continuous learning center - credit bearing (tutor) solving linear equations: variable on one side determining the input value to produce the same output value for two graphed functions use the graph to determine the input value for which f(x)=g(x) is true. x = 0.5 x = 2 x = 1

Explanation:

Step1: Recall function - intersection concept

The value of \(x\) for which \(f(x)=g(x)\) is the \(x\) - coordinate of the intersection point of the graphs of \(y = f(x)\) and \(y = g(x)\).

Step2: Locate intersection on graph

By observing the graph, the line \(y = f(x)\) (a horizontal line at \(y = 2\)) and the line \(y = g(x)\) (a non - horizontal line) intersect at the point \((1,2)\). The \(x\) - coordinate of the intersection point is \(x = 1\).

Answer:

\(x = 1\)