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 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

The owner of a small restaurant can prepare a particular meal at a cost of Rupee 100. He estimate that if the menu price of the meal is x rupees, then the number of customers who will order that meal at that price in an evening is given by the function D(x) = 200 - x. Express his day revenue total cost and profit on this meal as a function of x.

The formula for converting from Fahrenheit to Celsius temperatures is \(y={5x\over 9}-{160\over 9}\). Find the inverse of this function and determine whether the inverse is also a function.

If n(A\(\cap\)B) = 3 and n(A\(\cup\)B) = 10 then find n(P(A \(\Delta \) B))

On the set of natural number let R be the relation defined by aRb if 2a + 3b = 30. Write down the relation by listing all the pairs. Check whether it is reflexive

On the set of natural number let R be the relation defined by aRb if 2a + 3b = 30. Write down the relation by listing all the pairs. Check whether it is symmetric

On the set of natural number let R be the relation defined by aRb if a + b \(\le\) 6. Write down the relation by listing all the pairs. Check whether it is symmetric

On the set of natural number let R be the relation defined by aRb if a + b \(\le\) 6. Write down the relation by listing all the pairs. Check whether it is transitive

Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Give a function from A\(\rightarrow\)B for each of the following:
one-to-one but not onto.

Let A = {1, 2, 3, 4} and B = {a, b, c, d}. Give a function from A\(\rightarrow\)B for each of the following:
one-to-one and onto.