Estimate the domain of (f o g) from graph? Determine the domain analytically and compare.ġ - Since the domain of g is the set of all real numbers, the domain of (f o g)(x) is all values of x such that 1 - g(x) >= 0 or 1 - x^2 >= 0. Input functions f and g and press on the button "(f * g)(x)". Using the graph, what do you think is the domain of f / g? Explain analytically.Ĥ - Let f(x) = sqrt(1-x^2) and g(x) = sqrt(4-x^2). Input functions f and g and press on the button "(f / g)(x)". Using the graph, what do you think is the domain of f - g? Explain analytically.ģ - Let f(x) = 1 and g(x) = sqrt(x). Input functions f and g and press on the button "(f - g)(x)". Estimate the domain of (f o g) from graph? Determine the domain analytically and compare.Ģ - Let f(x) = 1 - x and g(x) = sqrt(x). Input functions f and g and press on the button "(f o g)(x)". Is the domain of (f o g) what is expected? Explain.ġ - Let f(x) = sqrt(1-x) and g(x) = x^2. Definition: The domain of (f o g) is the set of all values of x such that g(x) is defined and real and also f(g(x)) is defined and real.(f o g)(2) and f(g(2)) should be very close if not equal. Estimate g(2) from graph (black) and now estimate f(g(2)) from graph (blue). Estimate (f o g)(2) from the graph (red). Let f(x) = sqrt(x) and g(x) = x^2, input functions f and g and press on the button "(f o g)(x)".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.
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