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Math Help - find the tangent line

  1. #1
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    find the tangent line

    h(x) = g(f(x))
    Assume that the tangent line to f(x) through the point (1,3) is y=3+5(x-1) and the equation of the tangent line to the graph h(x) through (1,4) is given by y=a-2(x-1). Find the equation of the tangent line to the graph of g(x) through the point (3,4)
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  2. #2
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    Quote Originally Posted by rphagoo View Post
    h(x) = g(f(x))
    Assume that the tangent line to f(x) through the point (1,3) is y=3+5(x-1) and the equation of the tangent line to the graph h(x) through (1,4) is given by y=a-2(x-1). Find the equation of the tangent line to the graph of g(x) through the point (3,4)
    By the chain rule, h'(x)= g'(f(x))f'(x). You are saying that the f'(1)= 5, the slope of the tangent line, and that h'(1)= -2. What is g'(3)?
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  3. #3
    Senior Member Shanks's Avatar
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    Do you know the Chain Rule?
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    not fully
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    Then study it!
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