The graphs of two linear functions, f(x) and g(x), are shown here on one set of axes:
Each small box in the grid is 1 unit by 1 unit. Evaluate f(g(1)) * g(f(1)).
+23246 f(x) is a linear equation with slope = -0.5 and y-intercept = 2 ---> f(x) = -0.5x + 2
g(x) is a linear equation with slope = 1 and y-intercept = 0 ---> g(x) = x
g(1) = 1 ---> f( g(1) ) = -0.5(1) + 2 = 1.5
f(1) = -0.5(1) + 2 = 1.5 ---> g( f(1) ) = g(1.5) = 1.5
f( g(1) ) · g( f(1) ) = 1.5 · 1.5 = 2.25
