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Math Help - Solving Functions

  1. #1
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    Solving Functions

    Suppose that the functions g and h are defined for all real numbers x as follows.

    g(x)=x+1

    h(x)=3x^2

    Write the expressions for:

    (g*h)(x) = ?

    (g-h)(x) = ?

    (g+h)(2) = ?

    -------------------------

    Ok when I do this I get the following answers

    (g*h)(x) = (x+1)(3x^2) = 3x^3 + 3x^2

    (g-h)(x) = (x+1) - 3x^2 = -3x^2 + x + 1

    (g+h)(2) = (x+1) + 3x^2 = (2+1) + 3(2)^2 = 3 + 3*4 = 15

    ---------

    So

    (g*h)(x) = 3x^3 + 3x^2

    (g-h)(x) = -3x^2 + x + 1

    (g+h)(2) = 15

    Are these final answers correct?
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  2. #2
    Super Member sakonpure6's Avatar
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    Re: Solving Functions

    yes
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  3. #3
    MHF Contributor
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    Re: Solving Functions

    Hey Exfactor.

    Your answers look spot on.
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