Questions about Functions












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The function $f$ is defined by $f(x)=frac{(m+x)}{(2+3x)}$ for all values of $x$ except when $x=h$ and $m$ is a constant. Given that value of $1$ is unchanged under this mapping, how should I find the value of $m$?










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  • $begingroup$
    @KushalBhuyan: I re-added the dollar signs around "m" and "1" because all mathematics should be set in math-mode. (I also added them around $f$ at the start of the first sentence.) Does that make sense?
    $endgroup$
    – John Hughes
    Jan 29 at 13:14










  • $begingroup$
    @JohnHughes Yes thank you. It does make sense.
    $endgroup$
    – Kushal Bhuyan
    Jan 29 at 14:48










  • $begingroup$
    You recieved 2 answers to your question. Is any of them what you needed? If so, you should upvote all the useful answers and accept the answer that is most useful to you.
    $endgroup$
    – 5xum
    Feb 11 at 11:33
















-1












$begingroup$


The function $f$ is defined by $f(x)=frac{(m+x)}{(2+3x)}$ for all values of $x$ except when $x=h$ and $m$ is a constant. Given that value of $1$ is unchanged under this mapping, how should I find the value of $m$?










share|cite|improve this question











$endgroup$












  • $begingroup$
    @KushalBhuyan: I re-added the dollar signs around "m" and "1" because all mathematics should be set in math-mode. (I also added them around $f$ at the start of the first sentence.) Does that make sense?
    $endgroup$
    – John Hughes
    Jan 29 at 13:14










  • $begingroup$
    @JohnHughes Yes thank you. It does make sense.
    $endgroup$
    – Kushal Bhuyan
    Jan 29 at 14:48










  • $begingroup$
    You recieved 2 answers to your question. Is any of them what you needed? If so, you should upvote all the useful answers and accept the answer that is most useful to you.
    $endgroup$
    – 5xum
    Feb 11 at 11:33














-1












-1








-1


0



$begingroup$


The function $f$ is defined by $f(x)=frac{(m+x)}{(2+3x)}$ for all values of $x$ except when $x=h$ and $m$ is a constant. Given that value of $1$ is unchanged under this mapping, how should I find the value of $m$?










share|cite|improve this question











$endgroup$




The function $f$ is defined by $f(x)=frac{(m+x)}{(2+3x)}$ for all values of $x$ except when $x=h$ and $m$ is a constant. Given that value of $1$ is unchanged under this mapping, how should I find the value of $m$?







functions






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share|cite|improve this question








edited Jan 29 at 13:12









John Hughes

65.1k24292




65.1k24292










asked Jan 29 at 12:48









LeonLeon

21




21












  • $begingroup$
    @KushalBhuyan: I re-added the dollar signs around "m" and "1" because all mathematics should be set in math-mode. (I also added them around $f$ at the start of the first sentence.) Does that make sense?
    $endgroup$
    – John Hughes
    Jan 29 at 13:14










  • $begingroup$
    @JohnHughes Yes thank you. It does make sense.
    $endgroup$
    – Kushal Bhuyan
    Jan 29 at 14:48










  • $begingroup$
    You recieved 2 answers to your question. Is any of them what you needed? If so, you should upvote all the useful answers and accept the answer that is most useful to you.
    $endgroup$
    – 5xum
    Feb 11 at 11:33


















  • $begingroup$
    @KushalBhuyan: I re-added the dollar signs around "m" and "1" because all mathematics should be set in math-mode. (I also added them around $f$ at the start of the first sentence.) Does that make sense?
    $endgroup$
    – John Hughes
    Jan 29 at 13:14










  • $begingroup$
    @JohnHughes Yes thank you. It does make sense.
    $endgroup$
    – Kushal Bhuyan
    Jan 29 at 14:48










  • $begingroup$
    You recieved 2 answers to your question. Is any of them what you needed? If so, you should upvote all the useful answers and accept the answer that is most useful to you.
    $endgroup$
    – 5xum
    Feb 11 at 11:33
















$begingroup$
@KushalBhuyan: I re-added the dollar signs around "m" and "1" because all mathematics should be set in math-mode. (I also added them around $f$ at the start of the first sentence.) Does that make sense?
$endgroup$
– John Hughes
Jan 29 at 13:14




$begingroup$
@KushalBhuyan: I re-added the dollar signs around "m" and "1" because all mathematics should be set in math-mode. (I also added them around $f$ at the start of the first sentence.) Does that make sense?
$endgroup$
– John Hughes
Jan 29 at 13:14












$begingroup$
@JohnHughes Yes thank you. It does make sense.
$endgroup$
– Kushal Bhuyan
Jan 29 at 14:48




$begingroup$
@JohnHughes Yes thank you. It does make sense.
$endgroup$
– Kushal Bhuyan
Jan 29 at 14:48












$begingroup$
You recieved 2 answers to your question. Is any of them what you needed? If so, you should upvote all the useful answers and accept the answer that is most useful to you.
$endgroup$
– 5xum
Feb 11 at 11:33




$begingroup$
You recieved 2 answers to your question. Is any of them what you needed? If so, you should upvote all the useful answers and accept the answer that is most useful to you.
$endgroup$
– 5xum
Feb 11 at 11:33










2 Answers
2






active

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2












$begingroup$

Hint



The sentence




The value of $1$ is unchanged under this mapping




translates into the equation $$f(1)=1.$$






share|cite|improve this answer









$endgroup$





















    2












    $begingroup$

    $f(1)=frac{m+1}{2+3}=1 iff m+1=5 iff m=4.$






    share|cite|improve this answer









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      2 Answers
      2






      active

      oldest

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      2 Answers
      2






      active

      oldest

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      active

      oldest

      votes






      active

      oldest

      votes









      2












      $begingroup$

      Hint



      The sentence




      The value of $1$ is unchanged under this mapping




      translates into the equation $$f(1)=1.$$






      share|cite|improve this answer









      $endgroup$


















        2












        $begingroup$

        Hint



        The sentence




        The value of $1$ is unchanged under this mapping




        translates into the equation $$f(1)=1.$$






        share|cite|improve this answer









        $endgroup$
















          2












          2








          2





          $begingroup$

          Hint



          The sentence




          The value of $1$ is unchanged under this mapping




          translates into the equation $$f(1)=1.$$






          share|cite|improve this answer









          $endgroup$



          Hint



          The sentence




          The value of $1$ is unchanged under this mapping




          translates into the equation $$f(1)=1.$$







          share|cite|improve this answer












          share|cite|improve this answer



          share|cite|improve this answer










          answered Jan 29 at 12:49









          5xum5xum

          91.9k394161




          91.9k394161























              2












              $begingroup$

              $f(1)=frac{m+1}{2+3}=1 iff m+1=5 iff m=4.$






              share|cite|improve this answer









              $endgroup$


















                2












                $begingroup$

                $f(1)=frac{m+1}{2+3}=1 iff m+1=5 iff m=4.$






                share|cite|improve this answer









                $endgroup$
















                  2












                  2








                  2





                  $begingroup$

                  $f(1)=frac{m+1}{2+3}=1 iff m+1=5 iff m=4.$






                  share|cite|improve this answer









                  $endgroup$



                  $f(1)=frac{m+1}{2+3}=1 iff m+1=5 iff m=4.$







                  share|cite|improve this answer












                  share|cite|improve this answer



                  share|cite|improve this answer










                  answered Jan 29 at 12:50









                  FredFred

                  48.9k11849




                  48.9k11849






























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