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Question
The function for exchanging American dollars for Singapore Dollar on a given day is f(x) = 1.23x, where x represents the number of American dollars. On the same day the function for exchanging Singapore Dollar to Indian Rupee is g(y) = 50.50y, where y represents the number of Singapore dollars. Write a function which will give the exchange rate of American dollars in terms of Indian rupee
Solution
Given f(x) = 1.23x
Where x represents the number of American dollars
g(y) = 50.50y
where y represents the number of Singapore dollars.
To convert American dollars to Indian rupees
We must find gof(x) = g(f(x))
= g(1.23x)
= 50.50(1.23x)
= 62.115x
∴ The function for the exchange rate of American can dollars in terms of Indian rupees is
gof(x) = 62.115x
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