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Given f(x)=4x2+19x−5 and g(x)=4x2−x .

What is (fg)(x)?

jbouyer  Feb 12, 2018
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I think you mean  ( f / g) x  =

 

f (x)  / g(x)  =

 

[ 4x^2 + 19x  - 5 ]  /  [ 4x^2 - x ]     factor numerator / denominator

 

Note..it you're having trouble factoring....try factoring the "easier" thing, first....this is the denominator

 

[ 4x^2 + 19x - 5 ]  /  [  x (4x - 1 ) ]      guess that the numerator includes 4x - 1 as a factor

 

[ ( 4x - 1) ( x + 5 ) ] [ x (4x - 1 ) ]

 

Note that the numerator factors perfectly..."cancel" the  4x - 1  on top/bottom

 

(x + 5 )  / x          x not equal to  0, 1/4

 

 

cool cool cool

CPhill  Feb 12, 2018

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