Composition of Functions Answers

Which description best explains the domain of ?

If and h(x) = 4 – x, what is the value of ?

If and , what is the range of ?

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to ?

A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area. The area that is inside the circle, but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay $1.50 per square foot of mulch. This cost is represented by the function g(m), where m is the area requiring mulch. Which expression represents the cost of the mulch based on the radius of the circle?

If f(x) = x2 + 1 and g(x) = x – 4, which value is equivalent to ?

If p(x) = 2x2 – 4x and q(x) = x – 3, what is ?

If and g(x) = 5x – 4, what is the domain of ?

If h(x) = 5 + x and , which expression is equivalent to ?

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to ?