• 2021 April(Z04) Math Question 53

    Algebraic & Function Expressions

    - Nested Functions

    Composite functions
    Choice A

    Given that

    f(x)=x2−4,  and  g(x)=x+3f(x)=x^2-4,\; and\; g(x)=x+3
    f(g(x))=?f(g(x))=?

    So,

    f(g(x))=f(x+3)=(x+3)2−4=0f(g(x))=f(x+3)=(x+3)^2-4=0
    (x+3)2=4(x+3)^2=4
    x+3=±2x+3=\pm 2
    ∴x=−1,  x=−5\therefore x=-1,\; x=-5

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