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Adding Functions

  1. May 12, 2014 #1
    Hi all

    I was hoping someone could shed light on the following:-

    F(x) = 4x^2+6

    Q1) Find F(x)+4
    Q2) Find F(x+4)

    Q1) Am i correct in thinking that 4 is added to the entire function because the +4 is outside of the bracket, so the result will be:-

    F(x)+4 = 4x^2+6+4
    F(x)+4 = 4x^2+10

    Is my thinking correct?

    Q2) Am i correct in thinking that 4 is added to the variable x before is it is passed into the function F(x)? So the result would be:-

    F(x+4) = 4(x+4)^2+6

    So using actual numbers the result would be:-

    x F(x) F(x+4)
    -3 42 10
    -2 22 22
    -1 10 42
    0 0 70
    1 10 106
    2 22 150
    3 42 202



    Is this correct?

    Thanks
     
  2. jcsd
  3. May 12, 2014 #2

    adjacent

    User Avatar
    Gold Member

    Yes. You are correct. Why did you make a table for that?for a graph?
     
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