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

Answer 1

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