Function Operations

The graphs of f(x) and g(x) are shown below. For what interval is the value of (f - g)(x) negative?

(-∞,2)

If p(x) = x2 - 1 and q(x)=5(x-1), which expression is equivalent to (p - q)(x)?

(x2 - 1) - 5(x - 1)

If f(x) = 3 - 2x and g(x)=1/x+5, what is the value of (f/9)(8)?

-169

If f(x) = 16x - 30 and g(x) = 14x - 6, for which value of x does (f - g)(x) = 0?

12

If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f - g)(2)?

14

The graphs of f(x) and g(x) are shown below. Which of the following is the graph of (g - f)(x)?

C

Which expression is equivalent to (f + g)(4)?

f(4) + g(4)

Which expression is equivalent to (fg)(5)?

f(5) x g(5)

If f(x) = x2 - 2x and g(x) = 6x + 4, for which value of x does (f + g)(x) = 0?

-2

Which expression is equivalent to (st)(6)?

s(6) × t(6)