ISC (Commerce) Class 12 - CISCE Question Bank Solutions

Which one of the following graphs is a function of x?

Graph A	Graph B

If f : R `rightarrow` R is defined by `f(x) = (2x - 7)/4`, show that f(x) is one-one and onto.

If the function f : R → R be defined by f(x) = 2x − 3 and g : R → R by g(x) = x³ + 5, then find the value of (fog)⁻¹ (x).

Let f : W → W be defined as

`f(n)={(n-1, " if n is odd"),(n+1, "if n is even") :}`

Show that f is invertible a nd find the inverse of f. Here, W is the set of all whole
numbers.

If f(x) = [4 – (x – 7)³]^1/5 is a real invertible function, then find f^–1(x).

Let `f : R {(-1)/3} → R - {0}` be defined as `f(x) = 5/(3x + 1)` is invertible. Find f^–1(x).

if A =`((5,a),(b,0))` is symmetric matrix show that a = b

If the matrix `((6,-"x"^2),(2"x"-15 , 10))` is symmetric, find the value of x.

For what value of k the matrix `[(0, k),(-6, 0)]` is a skew symmetric matrix?

If A and B are symmetric matrices of the same order, then AB – BA is ______.

Write short note on the following:
Outsourcing

Answer briefly the following questions:

State any two limitations of promotion of employees in an organisation.

State any two benefits of e-business to the buyers.

Answer briefly the following question:

What is meant by outsourcing?

Define remuneration.

Bring out the significance of using grapevine as a channel of communication in an organization.

Answer the following question:

What is a Dictaphone?

With reference to the Post Office, expand the following:

 VPP

With reference to the Post Office, expand the following:

PIN

Discuss any four purposes of performance appraisal.