MathematicsRelations & Functions

    If f:RRf: \mathbb{R} \to \mathbb{R} is defined by f(x)=3x+2f(x) = 3x + 2, then f(f(x))f(f(x)) equals:

    Previous Year Question (PYQ)

    Bihar Board Class 12th2025(121/327)
    A

    9x+89x + 8

    B

    6x+46x + 4

    C

    9x+49x + 4

    D

    3x+83x + 8

    Answer(Detailed Solution Below)Option A :

    9x+89x + 8

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    Step-by-step Solution:

    Given f(x)=3x+2f(x) = 3x + 2

    We need to find f(f(x))f(f(x)):

    f(f(x))=f(3x+2)f(f(x)) = f(3x + 2)

    =3(3x+2)+2= 3(3x + 2) + 2

    =9x+6+2= 9x + 6 + 2

    =9x+8= 9x + 8

    Hence, Option A is correct.

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