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.

Question

Araceli Whitehead

Mathematics

5 November, 01:27

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.

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Answers (1)

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Rayna Swanson · Answer 1

g (f (x)) = 3.15x

Step-by-step 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.