Mark the correct alternative in each of the following: Let be defined by Then, The function f maps from the set of real numbers excluding three fifths to the set of real numbers, and f(x) is defined as the fraction with numerator three x plus two and denominator five x minus three.

Q55 of 215 Page 3

Mark the correct alternative in each of the following:
Let be defined by Then,

_{Given that}

_{For f}^-1:

⇒ y(5x – 3) = 3x + 2

⇒ x ( 5y – 3) = 2 + 3y

So,

⇒ fof(x) = x

Hence, option C is correct.

Mark the correct alternative in each of the following:

Let f: R → R be defined as

Then, find f(–1) + f(2) + f(4)

Mark the correct alternative in each of the following:

Let A = {1, 2, …, n} and B = {a, b}. Then the number of subjections from A into B is

Mark the correct alternative in each of the following:

If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is

Mark the correct alternative in each of the following:

If the set A contains 7 elements and the set B contains 10 elements, then the number one-one functions from A to B is