Thread: 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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