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How do you determine equation for this simple composite function?

  1. Jan 14, 2010 #1
    1. The problem statement, all variables and given/known data
    Given g(x)=|x| and f(x)=secx

    1)Determine an equation for (f(g(x))
    2)State the domain
    3)x and y intercepts
    4)any asymptotes


    2. Relevant equations
    N/A

    3. The attempt at a solution
    f(g(x))=sec|x| or 1/cos|x|
     
  2. jcsd
  3. Jan 14, 2010 #2

    rock.freak667

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    Homework Helper

    for x>0 what does fg(x) simplify to and do the same when x<0.
     
  4. Jan 14, 2010 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    "Equation" isn't the right word here. Do you mean formula? Why not just f(g(x))= f(|x|)= sec(|x|)?

    What is the domain of |x|? Which of those are in the domain of sec(x)?

    What is f(g(0))? where is f(g(0))= 0?

    Are there any values of x for which sec(x) is not defined?


    Good. Now continue.
     
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