Function Operations — Unit test Answers

The tables for f(x) and g(x) are shown below.xf(x)–5–11–21113529xg(x)–5–7–2–115513What is the value of (f – g)(5)?

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What are the restrictions on the domain of ?

The graph of f(x) is shown below.If g(x) and f(x) are inverse functions, which graph represents g(x)?

For which pair of functions is ?

Which function is the inverse of ?

If and , what is the degree of ?

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of ?

The height in feet, h, of a model rocket t seconds after launch is given by the equation . The average rate of change in h(t) between t = 1 second and t = 3 second is 6. What does the average rate of change tell you about the rocket?

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?

If the function has an inverse function, which statement must be true?

If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of ?

The cost of producing x soccer balls in thousands of dollars is represented by h(x) = 5x + 6. The revenue is represented by k(x) = 9x – 2. Which expression represents the profit, (k – h)(x), of producing soccer balls?

Lionel computed the average rate of change in the depth of a pool over a two-week interval to be zero. Which statement must be true?

Which statement verifies that f(x) and g(x) are inverses of each other?

The graph shows the distance in miles of a runner over x hours. What is the average rate of speed over the interval [9, 11]?