The function g(x)= x/453.6 converts x grams to pounds, as shown. Which composite function expresses the number of pounds that can be lifted by a balloon containing x ft3 of air?
To find the composite function that expresses the number of pounds that can be lifted by a balloon containing x ft3 of air, we need to find a function that converts the volume of air in ft3 (x) to grams and then converts grams to pounds.
Given that the function g(x) = x/453.6 converts x grams to pounds, we can start by finding the function that converts x ft3 to grams. Let's call this function f(x).
Next, we need to convert grams to pounds using the function g(x) = x/453.6.
To find the composite function, we can combine these two functions. The composite function will be g(f(x)).
Therefore, the composite function that expresses the number of pounds that can be lifted by a balloon containing x ft3 of air is g(f(x)).