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Math Help - F(x)

  1. #1
    Junior Member Dragon's Avatar
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    F(x)

    if g(x) is x^2+3x-1 find (G(x+h)-G(x))/h
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  2. #2
    o_O
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    g({\color{red}x}) = {\color{red}x}^2 + 3{\color{red}x} - 1

    To find g(x+h), just replace x + h with all the x's you see:
    g({\color{red}x+h}) = {\color{red}(x+h)}^2 + 3{\color{red}(x+h)} - 1 = \hdots

    You should now be able to algebraically simplify the expression \frac{g(x+h) - g(x)}{h}
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  3. #3
    MHF Contributor
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    All you have to do is substitute x + h into the function f, subtract f(x) from that, and then divide by h.

    The substitution looks like this: \frac{(x + h)^2 + 3(x + h) + 1 - x^2 - 3x - 1}{h}
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  4. #4
    Junior Member Godfather's Avatar
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    do u get h^2+2xh
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