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JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy
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Application +4 | -1
If ϕ(x)=x2+1\phi(x)=x^2+1 and ψ(x)=3x\psi(x)=3^x, then ϕ{ψ(x)}\phi\{\psi(x)\} and ψ{ϕ(x)}=\psi\{\phi(x)\}=
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Correct option: C
32x+1,3x2+13^{2 x}+1,3^{x^2+1}
Option C (32x+1,3x2+13^{2x} + 1, 3^{x^2+1}) is correct because substituting ψ(x)\psi(x) into ϕ(x)\phi(x) gives 32x+13^{2x} + 1 and substituting ϕ(x)\phi(x) into ψ(x)\psi(x) gives 3x2+13^{x^2+1}.

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