Combinations and Separations of Functions Answers

If the functions are combined using addition, which statements describe the resulting graph h(x)? Check two options.

The functions f(x) = 2x and g(x) = 2–x + 3 are combined using division to get function h(x).Which represents the combined function?

The function h(x) = 5x2 – x – 6 is the result of combining two functions using multiplication.Which functions could have been combined?

The table shows three functions and their output values for different values of x.

Which graph shows ?

The tables show the functions to calculate the costs for a master plumber, M(h), and an apprentice, A(h), depending on the number of hours, h, that it takes to complete a job.

Consider the following functions.f(x) = x2 – 4 g(x) = x – 2What is (f(x))(g(x))?

The table gives the volume of cylinders where the height is a function of the radius of the base. Given radius, r, the height can be modeled with the function h(r), the base area of the of the cylinder with the function B(r), and the volume of the cylinder with the function V(r).

An isosceles right triangle has a hypotenuse length that can be modeled with the function . The combined length of the legs can be modeled with the function L(x) = 2x.Which function, p(x), can be used to find the perimeter of the triangle?