Mathematics

Reflexive relation

In Class 12 Mathematics, under Relations and Functions, students study a reflexive relation as a relation R on a set A in which every element is related to itself: (a, a) ∈ R for every a ∈ A. They learn to verify this condition from ordered pairs, tables, matrices, and arrow diagrams, and to identify examples and non-examples. The topic also helps students distinguish reflexivity from other relation properties such as symmetry and transitivity.

Easy · Level 7 · 1 questions

Practice questions

01If \(f(x)=x^2+1\) and \(g(x)=x-1\), what is \((f\circ g)(3)\)?

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Answer and explanation

Correct answer: A. 5

Step 1: For a composition evaluate the inner function first: \((f\circ g)(3)=f(g(3))\). Step 2: \(g(3)=3-1=2\). Step 3: \(f(2)=2^2+1=4+1=5\). Thus the correct value is 5. The option 4 is a common mistake if you forget the "+1" in \(f(x)\); other wrong choices arise from similar arithmetic slip-ups. Exam tip: always compute the inner function value first, then substitute into the outer function.

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Reflexive relation

Practice questions

01If \(f(x)=x^2+1\) and \(g(x)=x-1\), what is \((f\circ g)(3)\)?यदि \(f(x)=x^2+1\) और \(g(x)=x-1\), तो \((f\circ g)(3)\) कितना होगा?

Analytics choices

01If \(f(x)=x^2+1\) and \(g(x)=x-1\), what is \((f\circ g)(3)\)?