I've actually struggled with how to properly simplify this rational function, and I'm hoping someone...

aangenaamyj

aangenaamyj

Answered

2022-07-15

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.

Answer & Explanation

Caiden Barrett

Caiden Barrett

Expert

2022-07-16Added 20 answers

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 .

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