Unit 1: Quiz 5 - Function Operations

The graphs of f(x) and g(x) are shown below. graph 1: f(x) = x-3 graph 2: g(x) = -0.5x For what interval is the value of (f - g)(x) negative?

(-∞, 2)

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

-169

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

-2

If f(x) = √x+12 and g(x) = 2√x, what is the value of (f - g)(144)?

0

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

14

If r(x) = 3x - 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?

3(6)-1 / 2(6)+1

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

6(3) - 4 + 3²

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

The leading coefficients of f(x) and g(x) are opposites.

If c(x) = 5/x-2 and d(x) = x + 3, what is the domain of (cd)(x)?

all real values of x except x = 2

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

f(5) × g(5)