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STD 12 - 1. relation and function — Mathematics STD 12 Science — Question

CBSE BoardEnglish MediumSTD 12 ScienceMathematicsSTD 12 - 1. relation and function1 Mark
MCQ
If $\phi (x) = {x^2} + 1$ and $\psi (x) = {3^x}$, then $\phi \{ \psi (x)\} $ and $\psi \{ \phi (x)\} = $
  • A
    ${3^{2x + 1}},\;{3^{{x^2} + 1}}$
  • B
    ${3^{2x + 1}},\;{3^{{x^2}}} + 1$
  • ✓
    ${3^{2x}} + 1,\;{3^{{x^2} + 1}}$
  • D
    None of these
✓

Answer

Correct option: C.
${3^{2x}} + 1,\;{3^{{x^2} + 1}}$
c
(c) $\phi \,\left\{ {\psi \,(x)\,} \right\} = \phi \,({3^x}) = {({3^x})^2} + 1 = {3^{2x}} + 1$

and $\psi \,\left\{ {\phi \,(x)\,} \right\} = \psi \,({x^2} + 1) = {3^{{x^2} + 1}}$.

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