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Determine the x-value of the point of intersection for the systemrepresented by...f(x)...

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bobsmith321 | Student | eNotes Newbie

Posted June 16, 2012 at 7:32 PM via web

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Determine the x-value of the point of intersection for the system

represented by...
f(x) =3   and
g(x) = 5/2x + 1

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thilina-g | College Teacher | (Level 1) Educator

Posted June 16, 2012 at 7:58 PM (Answer #1)

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`f(x) = 3`

 

`g(x) = 5/2x + 1 `

I am assuming it is `g(x) = 5/2x+1`

At the point of intersection,

`x = a`

`f(a) = g(a)`

`3 = 5/2a+1`

`2 = 5/2 a`

`4 = 5a`

`a = 4/5 = 0.8`

 

Therefore at the point of intersection, `x = 0.8`

 

Or if you have mentioned it as,

`g(x) = 5/(2x+1)`

`3 = 5/(2x+1)`

`2x+1 = 5/3`

`2x = 5/3 -1`

`2x = 2/3`

`x = 1/3`

 

 

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