Lesson 1.3: Combinations and Separations of Functions Answers

Which graph represents the situation h(x) = f(x) – g(x)?

Janet has money invested in two different accounts. The function f(x) represents the amount of money in an account after x years of interest compounded monthly, while the function g(x) represents the amount of money in an account after x years of simple interest.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.

A carpenter is building a rectangular deck. The deck should have a width, f(x), to length, g(x), ratio of 2 to 3. The area of the deck is represented by the function h(x). Complete the table with the missing side lengths and areas of the deck.

✔ 6X 8 20 96

✔ 10X 15 75 135

X 10 50 225 ✔ 600