
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
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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
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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, ∞)
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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]
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Any help will be greatly appreciated
Thanks everyone

Hi,
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