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Math Help - rate of change

  1. #1
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    rate of change

    a/find the instantaneous rate of change of f(x)=x^2+3x+4 when x=2

    b/ find the average rate of change of f(x)=x^2+3x+4 between x=2 and x=4<br />
    c/given f(x)= \frac{1}{2x+1} and g(x)=\sqrt{3x-5}, determine (f.g)(x) and its domain
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  2. #2
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    Quote Originally Posted by william View Post
    a/find the instantaneous rate of change of f(x)=x^2+3x+4 when x=2

    \textcolor{red}{\lim_{x \to 2} \frac{f(x) - f(2)}{x-2}}

    b/ find the average rate of change of f(x)=x^2+3x+4 between x=2 and x=4<br />

    \textcolor{red}{\frac{f(4) - f(2)}{4-2}}

    c/given f(x)= \frac{1}{2x+1} and g(x)=\sqrt{3x-5}, determine (f.g)(x) and its domain

    \textcolor{red}{(f \cdot g)(x)} or \textcolor{red}{(f \circ g)(x)} ?
    ...
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  3. #3
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    Quote Originally Posted by skeeter View Post
    ...
    its (f\circ g)
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  4. #4
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    Quote Originally Posted by william View Post
    c/given f(x)= \frac{1}{2x+1} and g(x)=\sqrt{3x-5}, determine (f \circ g)(x) and its domain

    corrected the composition notation

    (f \circ g)(x) = f[\textcolor{red}{g(x)}]= \frac{1}{2\textcolor{red}{(\sqrt{3x-5})}+1}
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