Differential Calculus

Find the domain of 

• [-2,1] U [1,2] U [2,8]
• (-2,+∞) U (1,1)
• [-2,1] U [1,2] U[2,+∞]
• [-∞,-2] U [-2,1] U[1,2]

The Quadratic Function 6x² - 13x - 63 will have its minimum at what point?

• (1681/24 , -13/12)
• (-13/12 , 1681/24)
• (-1681/24 , -13/12)
• (13/12 , 1681/24)

Given: f(x)= x²+1 and g(x)= 3x²-4x+9 , find (f-g)(x).

• 2x² - 4x + 8
• -2x² + 4x - 8
• -2x² - 4x + 10
• -2x² + 4x + 10

Given: f(x)= 3x-1 and g(x)= 2x²-3x-5 ,
find f circle g

• 6x² - 9x - 16
• 6x² - 6x - 15
• 18x² - 21x - 2
• 18x² + 3x - 3

Which of the following is true about the graph of 

• It is asymptotic to the line y= 5/3
• Its range includes all set of real numbers
• It is discontinuous at (-5/3 , 0)
• Its domain includes all numbers greater than 1/3

Find the instantaneous rate of change of a ball given its velocity 43t² -3t + 4 m/s at t= 2.35 sec.?

• 199.3
• 199.2
• 199.1
• 199.0

Find the domain f(x)= 9x² + 6x - 8?

• Set of all real numbers.
• Set of all real numbers except 2/3
• Set of all real numbers except -4/3
• Set of all real numbers except 2/3 and -4/3

Evaluate

• +∞
• 3
• -2
• -∞

Find the domain of
f(x)= [3]

• (-∞ , +∞)
• [-3 , 3]
• (-3 , 3)
• (-∞ , -3] U [3 , +∞)

Find the inverse
f(x)= 4x-5/4x+7

• -(7x-5)/4(x-1)
• (7x+5)/4(x+1)
• -(7x-5)/4(x+1)
• 7x+5/4(x-1)