5 Questions
Find the difference of the functions f(x) and g(x).
The difference of the functions f(x) and g(x) is given by $(f-g)(x) = f(x) - g(x) = (3x^2 + 7x) - (2x^2 - x - 1) = x^2 + 8x + 1
Find the sum of the functions f(x) and g(x).
The sum of the functions f(x) and g(x) is given by $(f+g)(x) = f(x) + g(x) = (3x^2 + 7x) + (2x^2 - x - 1) = 5x^2 + 6x - 1
Find the product of the functions f(x) and g(x).
The product of the functions f(x) and g(x) is given by $(f \cdot g)(x) = f(x) \cdot g(x) = (3x^2 - 2x + 1)(x - 4) = 3x^3 - 14x^2 + 9x - 4
Find the quotient of the functions f(x) and g(x).
The quotient of the functions f(x) and g(x) is given by $(f / g)(x) = \dfrac{3x^2 - 2x + 1}{x - 4} = 3x + 10 + \dfrac{x-4}{x-4} = 3x + 10 + 1 = 3x + 11
Calculate the value of f(2) + g(2).
The value of $f(2) + g(2)$ is $(3(2)^2 + 7(2)) + (2(2)^2 - 2 - 1) = 22 + 3 = 25
Test your knowledge of calculus and analytic geometry with this quiz covering functions, derivatives, limits, continuity, integration techniques, and applications, as well as analytic geometry concepts like parabolas, ellipses, and hyperbolas.
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