Function Operations Answers

If and d(x) = x + 3, what is the domain of (cd)(x)?

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

If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

If f(x) = 8 – 10x and g(x) = 5x + 4, what is the value of (fg)(–2)?

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

If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to ?

If and , what is the value of (f – g)(144)?

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

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