Is it the intersection of the domains of f and g? Why is (f/g)(x) undefined at x = 1? What is the domain of f / g? Do the same at x = 4 and some other points. Let f(x) = sqrt(x) and g(x) = x - 1, input functions f and g and press on the button "(f / g)(x)".Explore the graph (in red) of function f / g is it what is expected? What do you think is happening at x = 0 for the graph of f / g? Let f(x) = 1 and g(x) = x, input functions f and g and press on the button "(f / g)(x)".Is it the intersection of the domains of f and g? Do the same at x = -1 and some other points. Let f(x) = sqrt(x 2) and g(x) = x, input functions f and g and press on the button "(f * g)(x)". Explore the graph (in red) of function (f * g)(x) is it what is expected? Compare the zeros of f, g and f * g and explain. Let f(x) = x - 2 and g(x) = x, input functions f and g and press on the button "(f * g)(x)". Do the same at x = 3 and some other points.
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