Calculus and Analytic Geometry 1
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Questions and Answers

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).

<p>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</p> Signup and view all the answers

Calculate the value of f(2) + g(2).

<p>The value of $f(2) + g(2)$ is $(3(2)^2 + 7(2)) + (2(2)^2 - 2 - 1) = 22 + 3 = 25</p> Signup and view all the answers

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