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Math Help - Function question

  1. #1
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    Function question

    Hello. I was wondering how I would set this problem up. it reads " Suppose f(x)= (x+6)/(x-4). Find all values of "a" for which f(a)=2.

    Thanks for any help!!!

    JAson
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by Mathfailure View Post
    Hello. I was wondering how I would set this problem up. it reads " Suppose f(x)= (x+6)/(x-4). Find all values of "a" for which f(a)=2.

    Thanks for any help!!!

    JAson
    okay, so f(a) just means we plug a into the function, they want the value of the function when a is plugged in to be 2, so

    f(a) = (a + 6)/(a - 4) = 2
    => a + 6 = 2(a - 4)
    => a + 6 = 2a - 8
    => a = 14
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  3. #3
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    Quote Originally Posted by Jhevon View Post
    okay, so f(a) just means we plug a into the function, they want the value of the function when a is plugged in to be 2, so

    f(a) = (a + 6)/(a - 4) = 2
    => a + 6 = 2(a - 4)
    => a + 6 = 2a - 8
    => a = 14

    Hello. Sorry bout the confusion, but how does a+6=2a-8 make a equal to 14? thanks
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by Mathfailure View Post
    Hello. Sorry bout the confusion, but how does a+6=2a-8 make a equal to 14? thanks
    Step by step:
    a + 6 = 2a - 8

    -a + a + 6 = -a + 2a - 8

    6 = a - 8

    6 + 8 = a - 8 + 8

    14 = a

    -Dan
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