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Math Help - Functions

  1. #1
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    Functions

    1. For g(x) = x^2+2x+3, find and simplify:

    A) g(2+h)
    B) g(2+h)-g(2)

    2. If f(x)=x^2+1, find and simplify:

    A) f(t+1)
    B) f(t+1)
    C)f(2)
    D)2f(t)
    E) [f(t)]^2

    I'm not super concerned about what the answers are, but more on how to get to them. I know it looks like a case of just inputing whatever it is, but for some reason I come at it with an incomplete understanding of how to get to the solution of the problem.

    Take for instance A in the first question.

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

    (2+h)^2+2(2+h)+3

    4+h^2+4+2h+3

    I'm probably doing something very wrong because I do not seem to know how the answer is h^2+6h+11. I've got this so far:

    h^2+2h+11
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  2. #2
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    Quote Originally Posted by A Beautiful Mind View Post
    1. For g(x) = x^2+2x+3, find and simplify:

    A) g(2+h)
    B) g(2+h)-g(2)

    2. If f(x)=x^2+1, find and simplify:

    A) f(t+1)
    B) f(t+1)
    C)f(2)
    D)2f(t)
    E) [f(t)]^2

    I'm not super concerned about what the answers are, but more on how to get to them. I know it looks like a case of just inputing whatever it is, but for some reason I come at it with an incomplete understanding of how to get to the solution of the problem.

    Take for instance A in the first question.

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

    (2+h)^2+2(2+h)+3

    4+h^2+4+2h+3

    I'm probably doing something very wrong because I do not seem to know how the answer is h^2+6h+11. I've got this so far:

    h^2+2h+11
    You need to learn to expand properly. (2 + h)^2 = 4 + 4h + h^2, NOT 4 + h^2. Probably similar mistakes being made with the others.
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  3. #3
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    Thanks man.
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