Question

Suppose the function f(x) = 0.035x represents the number of U.S. dollars equivalent to x Russian rubles, and the function g(x) = 90x represents the number of Japanese yen equivalent to x U.S. dollars. Write a composite function that represents the number of Japanese yen equivalent to x Russian rubles. Show your work.

Answer 1

g(f(x)) = 3.15x

Explanation:

To find the number of Japanese yen equivalent to x russian rubles, we need to put one function into another.

If we take f(x) and put in into g(x), we will get Japanese yen in terms of rubles. Thus,

g(f(x)) = 90 (0.035x)

g(f(x)) = 3.15x

THis is the composite function which represents the number of Japanese yen equivalent to x Russian Rubles.