PreCalculus 11-12: Limits

• 6x + 3

Which expression represents the composite function f(g(x)) if f(x) = 2x - 1 and g(x) = 1/(x - 1)?

• (2x - 1)/(x - 1)

• (3 - x)/(x - 1)

• 1/(2(x - 1))

• 1/(2(x + 1))

Which function has an asymptote at y = 1?

• y = x + 1

• y = x/(x + 1)

• y = 1/(x + 1)

The function f(x) = ⁵√(x+2) is defined for all values of x ≥ -2. As the value of x approaches -2, which of the following statements is true about f(x)?

• f(x) approaches 0

• f(x) approaches 1

• f(x) is undefined

• f(x) approaches infinity

As the value of x increases continuously, x > -2, what limit does the function h(x) approach if h(x) = 3/(x+2)?

• 0

• 1

• 2

• 3

• y approaches negative infinity.

• y approaches positive infinity.

• y approaches 0.

• y approaches 1.

• -1

• 0

• 1

• 7

• -16

• -5

• 0

• 12

• -3

• 0

• 7

• 13

• 0
• 2