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Math Help - Functions + Graphs

  1. #1
    soulfusion
    Guest

    Functions + Graphs

    Hi Everyone. Im having problems with these. Could you please help

    1) Suppose the functions f and g are defined by

    f (x) = x[squared] + x - 2 and g (x) = 1 over x

    Which of the following statements is/are true?

    A) g (x[squared] + 3) = 1 over x[squared] + 3

    f(1 over x) = 1 over x[squared] + x - 2

    C) (f over g) (x) = x3 + x[squared] - 2x and Df over g = R

    __________________________________________________ _______________

    2) Which of the following statements is / are correct for the inequality 3x - 4y < 2

    A) The graph of the inequality consists of all points above the line defined by y = 3 over 4 x - 1 over 2

    The graph of the inequality consists of all points below the line defined by 3x - 4y = 2

    C) The graph of the inequality consists of all points above the line defined by 4y - 3x +2 = 0

    __________________________________________________ _______________

    3) The range of the function f which is defined by f (x) = −3 (x + 1)[squared] +5 is

    A) R

    B) (−∞, −1]

    C) [−1, ∞)

    D) (−∞, 5]

    E) [5, ∞)

    __________________________________________________ _______________

    4) Suppose z = 3x[squared] over y[cubed] . Which of the following statements is/are true?

    A) z is directly proportional to x and inversely proportional to y.
    B) z is directly proportional to the square of x and inversely proportional to the cube of y.
    C) z is jointly proportional to x[squared] and 1 over y[squared]
    __________________________________________________ _______________

    Any help will be greatly appreciated
    Thanks everyone
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  2. #2
    Member
    Joined
    Apr 2005
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    Hi,

    Please state your attempts and thoughts. You must know something about these questions. Maybe you can eliminate a few choices? Also, please use LaTex. Read instructions
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