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)).
g(1) = 1
So f (g(1)) = f(1) = 3/2
And
f(1) = 3/2
So g (f (1) ) = g (3/2) = 3/2
So
f(g(1)) * g (f(1)) = 3/2 * 3/2 = 9/4