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Math Help - Solve Equations

  1. #1
    Newbie
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    Arrow Solve Equations

    Hi there,

    Can someone please solve 3 equations for me, i am confused how to solve these. Thanks for your help

    1)
    Solve the two sided inequality and show the solution on real line
    7 < 1-2x ≤ 10


    2)
    Given two functions as:
    f(x) = and g(x) =
    Find fog(x) also find the domain of f, g and fog
    Last edited by mr fantastic; October 25th 2010 at 06:45 PM.
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  2. #2
    MHF Contributor Unknown008's Avatar
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    Quote Originally Posted by accmaster View Post
    Hi there,

    Can someone please solve 3 equations for me, i am confused how to solve these. Thanks for your help

    1)
    Solve the two sided inequality and show the solution on real line
    7 < 1-2x ≤ 10
    Treat the inequality like any other equation.

    7< 1-2x \leq 10

    Subtract 1 from all parts:

    7 - 1< 1-2x - 1 \leq 10 - 1

    6< -2x \leq 9

    And remember that when you divide or multiply by a negative number, the sign flips around.

    Try finish this.

    2)
    Given two functions as:
    f(x) = and g(x) =
    Find fog(x) also find the domain of f, g and fog
    Sorry, the functions are not appearing.

    Anyway, if f(x) = x + 1 and g(x) = 3x - 1, then

    fog(x) = f(3x -1) = (3x - 1) + 1 = 3x

    From there, you should have an idea of the shapes of all the three functions, and give their domain.
    Last edited by mr fantastic; October 25th 2010 at 06:45 PM.
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