Multiple Choice Question (MCQ)

If f(x)=x^2-1 , g(x)=(x-1)^{-1}, and x {=}\mathllap{/\,}1 , then f(x)g(x) =

  1. ×

    2x+1

  2. ×

    x+1

  3. ×

    x-1

  4. ×

    x^3-1

  5. ×

    2x-1

Collected in the board: Function

Steven Zheng posted 2 months ago


Answer

  1. Factorize the function f(x)


    f(x)= x^2-1 = (x+1)(x-1)


    So the product of the two functions

    f(x)g(x) = (x+1)(x-1)\cdotp \dfrac{1}{x-1} = x+1

Steven Zheng posted 2 months ago

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