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).
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined
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.
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined
If f(x) = [4 – (x – 7)3]1/5 is a real invertible function, then find f–1(x).
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined
Let `f : R {(-1)/3} → R - {0}` be defined as `f(x) = 5/(3x + 1)` is invertible. Find f–1(x).
[1] Relations and Functions
Chapter: [1] Relations and Functions
Concept: undefined >> undefined
Briefly explain the composition of the Zilla Parishad.
[11] Directive Principles of State Policy
Chapter: [11] Directive Principles of State Policy
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State what is meant by open trial system.
[11] Directive Principles of State Policy
Chapter: [11] Directive Principles of State Policy
Concept: undefined >> undefined
Discuss the functions of Judiciary.
[11] Directive Principles of State Policy
Chapter: [11] Directive Principles of State Policy
Concept: undefined >> undefined
From the citizen’s point of view, the judiciary is the MOST important organ of the government because ______.
[11] Directive Principles of State Policy
Chapter: [11] Directive Principles of State Policy
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State two features of a unitary state.
[2] Forms of Government: Unitary and Federal States
Chapter: [2] Forms of Government: Unitary and Federal States
Concept: undefined >> undefined
Explain one way in which the Constitution of the United States can be amended.
[2] Forms of Government: Unitary and Federal States
Chapter: [2] Forms of Government: Unitary and Federal States
Concept: undefined >> undefined
Distinguish between direct and indirect elections.
[3] Forms of Government: Parliamentary and Presidential Forms of Government
Chapter: [3] Forms of Government: Parliamentary and Presidential Forms of Government
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Give one reason why it is important for a federal state to have a bicameral legislature.
[9] Indian Constitution the Preamble and Salient Features of the Indian Constitution
Chapter: [9] Indian Constitution the Preamble and Salient Features of the Indian Constitution
Concept: undefined >> undefined
Why is November 26 celebrated as Constitution Day in India?
[2] Forms of Government: Unitary and Federal States
Chapter: [2] Forms of Government: Unitary and Federal States
Concept: undefined >> undefined
Following are the differences between Parliamentary and Presidential forms of governments:
[1] Forms of Government: Totalitarian and Authoritarian States, and Liberal Democratic State
Chapter: [1] Forms of Government: Totalitarian and Authoritarian States, and Liberal Democratic State
Concept: undefined >> undefined
Explain four features of an Authoritarian State.
[1] Forms of Government: Totalitarian and Authoritarian States, and Liberal Democratic State
Chapter: [1] Forms of Government: Totalitarian and Authoritarian States, and Liberal Democratic State
Concept: undefined >> undefined
The distinction between a written and unwritten constitution is a false one. Discuss this statement.
[2] Forms of Government: Unitary and Federal States
Chapter: [2] Forms of Government: Unitary and Federal States
Concept: undefined >> undefined
Which one of the following elections in an example of Direct Election?
[3] Forms of Government: Parliamentary and Presidential Forms of Government
Chapter: [3] Forms of Government: Parliamentary and Presidential Forms of Government
Concept: undefined >> undefined
Give one word/term for the following:
The method of election that is held to elect the House of Representatives.
[3] Forms of Government: Parliamentary and Presidential Forms of Government
Chapter: [3] Forms of Government: Parliamentary and Presidential Forms of Government
Concept: undefined >> undefined
Give one word/term for the following:
A country with an elected Head of State.
[3] Forms of Government: Parliamentary and Presidential Forms of Government
Chapter: [3] Forms of Government: Parliamentary and Presidential Forms of Government
Concept: undefined >> undefined
What is meant by a totalitarian state?
[1] Forms of Government: Totalitarian and Authoritarian States, and Liberal Democratic State
Chapter: [1] Forms of Government: Totalitarian and Authoritarian States, and Liberal Democratic State
Concept: undefined >> undefined
