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Chapter 1 Class 12 Relation and Functions | 5 questions | about 4 minutes

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Question 1 of 5
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Question 1 of 5
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(f(x)=3 x-4\). Then \(f^{-1}(x)\) is given by
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Question 2 of 5
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Let \(f: \mathbf{N} \rightarrow \mathbf{R}\) be the function defined by \(f(x)=\frac{2 x-1}{2}\) and \(g: \mathbf{Q} \rightarrow \mathbf{R}\) be another function defined by \(g(x)=x+2\). Then \((g \circ f) \frac{3}{2}\) is
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Question 3 of 5
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Let \(f: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(f(x)=\sin x\) and \(g: \mathbf{R} \rightarrow \mathbf{R}\) be defined by \(g(x)=x^2\), then \(f \circ g\) is
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Question 4 of 5
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Consider the non-empty set consisting of children in a family and a relation \(R\) defined as \(a \mathrm{R} b\) if \(a\) is brother of \(b\). Then R is
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Question 5 of 5
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Set A has 3 elements and the set B has 4 elements. Then the number of
injective mappings that can be defined from A to B is
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