I've actually struggled with how to properly simplify this rational function, and I'm hoping someone can point me in the right direction. It's part of my precalculus class/section on graphing rational functions by translation: f ( x ) = − x 7 x + 5 I can get along OK with simpler such rational functions, but this one is throwing me for a loop, because of the (-x) in the numerator.Any help is greatly appreciated! I'm sorry for any formatting problems in advance, as I'm new to this site.

Question

I&#039;ve actually struggled with how to properly simplify this rational function, and I&#039;m hoping someone can point me in the right direction. It&#039;s part of my precalculus class/section on graphing rational functions by translation:  f  (  x  )  =            −      x              7      x      +      5      I can get along OK with simpler such rational functions, but this one is throwing me for a loop, because of the (-x) in the numerator.Any help is greatly appreciated! I&#039;m sorry for any formatting problems in advance, as I&#039;m new to this site.

Caiden Barrett · Accepted Answer

Find an equivalent form which you can already graph by translations:  f  (  x  )  =            −      x              7      x      +      5        =     −            x      +      5              /            7              7      x      +      5           +            5              /            7              7      x      +      5           =    =  −      1    7       +      5          49      x      +      35          .