• 2021 December(E23) Math Question 41

    Algebraic & Function Expressions

    - Nested Functions

    Composite functions
    Choice B
    f(x)=x2+1  and  g(x)=x−3f(x)=x^2+1\; and\; g(x)=x-3
    f(g(x))=x2+1f(g(x))=x^2+1
    f(x−3)=(x−3)2+1f(x-3)=(x-3)^2+1
    =x2+9−6x+1=x^2+9-6x+1
    =x2−6x+10=x^2-6x+10

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