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Math Help - sketching functions

  1. #1
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    sketching functions

    hi, when it says to sketch (f o g)(x)

    and f(x) = x^2 , g(x) = 4x+3

    is that just (4x+3)^2 or (4x+3)^2 \cdot x ?

    cheers
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by jvignacio View Post
    hi, when it says to sketch (f o g)(x)

    and f(x) = x^2 , g(x) = 4x+3

    is that just (4x+3)^2 or (4x+3)^2 \cdot x ?

    cheers
    Its just the first one

    fog is a fuction like f

    When written as fog(x) its similar to writing f(x)
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  3. #3
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    Quote Originally Posted by ADARSH View Post
    Its just the first one

    fog is a fuction like f

    When written as fog(x) its similar to writing f(x)
    ahh yeah so we dont multiply (f o g) by x, just leave it as (f o g) , in this case (4x+3)^2 correct?
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  4. #4
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by jvignacio View Post
    ahh yeah so we dont multiply (f o g) by x, just leave it as (f o g) , in this case (4x+3)^2 correct?
    yes it is

    (fog)(x) = f(g(x))
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  5. #5
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    Quote Originally Posted by jvignacio View Post
    ahh yeah so we dont multiply (f o g) by x, just leave it as (f o g) , in this case (4x+3)^2 correct?
    The notation f(x), with f a function, never means "multiply f\cdot x"!
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  6. #6
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    Quote Originally Posted by HallsofIvy View Post
    The notation f(x), with f a function, never means "multiply f\cdot x"!
    yeah i know f(x) but i was confused with (f o g)(x) = f(g(x))
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