Composition Function
Sets, Relation and Function

117254 If \(f(x)=|\cos x|\) and \(g(x)=[x]\), then gof \((x)\) is equal to

1 \(|\cos [\mathrm{x}]|\)
2 \(|\cos x|\)
3 \([|\cos x|]\)
4 \(|[\cos x]|\)
Sets, Relation and Function

117263 If \(f(x)=e^{|x|}, g(x)=\log x\), then \((g\) of \()(x)=\)

1 \(-x^2\)
2 \(2 x\)
3 \(|\mathrm{x}|\)
4 1
Sets, Relation and Function

117266 If \(f(x)=\frac{x+1}{x-1}\), then the value of \(f(f(x))\) is equal to

1 \(x\)
2 0
3 \(-x\)
4 1
5 2
Sets, Relation and Function

117270 If \(f(x)=x+1\) and \(g(x)=2 x\), the \(f\{g(x)\}\) is equal to

1 \(2(x+1)\)
2 \(2 x(x+1)\)
3 \(\mathrm{x}\)
4 \(2 x+1\)
5 \(2 x^2+1\)
Sets, Relation and Function

117251 If the relation \(R: A \rightarrow B\), where \(A=\) \(\{1,2,3,4\}\) and \(B=\{1,3,5\}\) is defined by \(R=\) \(\{(x, y): x\lt y, x \in A, y \in B\}\), then \(R^{-1} O R\) is equal to

1 \(\{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\}\)
2 \(\{(3,1),(5,1),(5,2),(5,3),(5,4)\}\)
3 \(\{(3,3),(3,5),(5,3),(5,5)\}\)
4 None of the above
Sets, Relation and Function

117254 If \(f(x)=|\cos x|\) and \(g(x)=[x]\), then gof \((x)\) is equal to

1 \(|\cos [\mathrm{x}]|\)
2 \(|\cos x|\)
3 \([|\cos x|]\)
4 \(|[\cos x]|\)
Sets, Relation and Function

117263 If \(f(x)=e^{|x|}, g(x)=\log x\), then \((g\) of \()(x)=\)

1 \(-x^2\)
2 \(2 x\)
3 \(|\mathrm{x}|\)
4 1
Sets, Relation and Function

117266 If \(f(x)=\frac{x+1}{x-1}\), then the value of \(f(f(x))\) is equal to

1 \(x\)
2 0
3 \(-x\)
4 1
5 2
Sets, Relation and Function

117270 If \(f(x)=x+1\) and \(g(x)=2 x\), the \(f\{g(x)\}\) is equal to

1 \(2(x+1)\)
2 \(2 x(x+1)\)
3 \(\mathrm{x}\)
4 \(2 x+1\)
5 \(2 x^2+1\)
Sets, Relation and Function

117251 If the relation \(R: A \rightarrow B\), where \(A=\) \(\{1,2,3,4\}\) and \(B=\{1,3,5\}\) is defined by \(R=\) \(\{(x, y): x\lt y, x \in A, y \in B\}\), then \(R^{-1} O R\) is equal to

1 \(\{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\}\)
2 \(\{(3,1),(5,1),(5,2),(5,3),(5,4)\}\)
3 \(\{(3,3),(3,5),(5,3),(5,5)\}\)
4 None of the above
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Sets, Relation and Function

117254 If \(f(x)=|\cos x|\) and \(g(x)=[x]\), then gof \((x)\) is equal to

1 \(|\cos [\mathrm{x}]|\)
2 \(|\cos x|\)
3 \([|\cos x|]\)
4 \(|[\cos x]|\)
Sets, Relation and Function

117263 If \(f(x)=e^{|x|}, g(x)=\log x\), then \((g\) of \()(x)=\)

1 \(-x^2\)
2 \(2 x\)
3 \(|\mathrm{x}|\)
4 1
Sets, Relation and Function

117266 If \(f(x)=\frac{x+1}{x-1}\), then the value of \(f(f(x))\) is equal to

1 \(x\)
2 0
3 \(-x\)
4 1
5 2
Sets, Relation and Function

117270 If \(f(x)=x+1\) and \(g(x)=2 x\), the \(f\{g(x)\}\) is equal to

1 \(2(x+1)\)
2 \(2 x(x+1)\)
3 \(\mathrm{x}\)
4 \(2 x+1\)
5 \(2 x^2+1\)
Sets, Relation and Function

117251 If the relation \(R: A \rightarrow B\), where \(A=\) \(\{1,2,3,4\}\) and \(B=\{1,3,5\}\) is defined by \(R=\) \(\{(x, y): x\lt y, x \in A, y \in B\}\), then \(R^{-1} O R\) is equal to

1 \(\{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\}\)
2 \(\{(3,1),(5,1),(5,2),(5,3),(5,4)\}\)
3 \(\{(3,3),(3,5),(5,3),(5,5)\}\)
4 None of the above
Sets, Relation and Function

117254 If \(f(x)=|\cos x|\) and \(g(x)=[x]\), then gof \((x)\) is equal to

1 \(|\cos [\mathrm{x}]|\)
2 \(|\cos x|\)
3 \([|\cos x|]\)
4 \(|[\cos x]|\)
Sets, Relation and Function

117263 If \(f(x)=e^{|x|}, g(x)=\log x\), then \((g\) of \()(x)=\)

1 \(-x^2\)
2 \(2 x\)
3 \(|\mathrm{x}|\)
4 1
Sets, Relation and Function

117266 If \(f(x)=\frac{x+1}{x-1}\), then the value of \(f(f(x))\) is equal to

1 \(x\)
2 0
3 \(-x\)
4 1
5 2
Sets, Relation and Function

117270 If \(f(x)=x+1\) and \(g(x)=2 x\), the \(f\{g(x)\}\) is equal to

1 \(2(x+1)\)
2 \(2 x(x+1)\)
3 \(\mathrm{x}\)
4 \(2 x+1\)
5 \(2 x^2+1\)
Sets, Relation and Function

117251 If the relation \(R: A \rightarrow B\), where \(A=\) \(\{1,2,3,4\}\) and \(B=\{1,3,5\}\) is defined by \(R=\) \(\{(x, y): x\lt y, x \in A, y \in B\}\), then \(R^{-1} O R\) is equal to

1 \(\{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\}\)
2 \(\{(3,1),(5,1),(5,2),(5,3),(5,4)\}\)
3 \(\{(3,3),(3,5),(5,3),(5,5)\}\)
4 None of the above
Sets, Relation and Function

117254 If \(f(x)=|\cos x|\) and \(g(x)=[x]\), then gof \((x)\) is equal to

1 \(|\cos [\mathrm{x}]|\)
2 \(|\cos x|\)
3 \([|\cos x|]\)
4 \(|[\cos x]|\)
Sets, Relation and Function

117263 If \(f(x)=e^{|x|}, g(x)=\log x\), then \((g\) of \()(x)=\)

1 \(-x^2\)
2 \(2 x\)
3 \(|\mathrm{x}|\)
4 1
Sets, Relation and Function

117266 If \(f(x)=\frac{x+1}{x-1}\), then the value of \(f(f(x))\) is equal to

1 \(x\)
2 0
3 \(-x\)
4 1
5 2
Sets, Relation and Function

117270 If \(f(x)=x+1\) and \(g(x)=2 x\), the \(f\{g(x)\}\) is equal to

1 \(2(x+1)\)
2 \(2 x(x+1)\)
3 \(\mathrm{x}\)
4 \(2 x+1\)
5 \(2 x^2+1\)
Sets, Relation and Function

117251 If the relation \(R: A \rightarrow B\), where \(A=\) \(\{1,2,3,4\}\) and \(B=\{1,3,5\}\) is defined by \(R=\) \(\{(x, y): x\lt y, x \in A, y \in B\}\), then \(R^{-1} O R\) is equal to

1 \(\{(1,3),(1,5),(2,3),(2,5),(3,5),(4,5)\}\)
2 \(\{(3,1),(5,1),(5,2),(5,3),(5,4)\}\)
3 \(\{(3,3),(3,5),(5,3),(5,5)\}\)
4 None of the above