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Suppose that the functions g and h are defined for all real numbers as follows.

 

 Apr 13, 2020
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g(x)  =  3x + 5     h(x)  =  4x

 

(g · h)(x)  =  g(x) · h(x)  =  (3x + 5) · (4x)  =  12x2 + 20x

 

(g + h)(x)  =  g(x) + h(x)  =  (3x + 5) + (4x)  =  7x + 5

 

(g - h)(x)  =  g(x) - h(x)  =  (3x + 5) - (4x)  =  -x + 5

     --->   (g - h)(3)  =  -3 + 5  =  2

 Apr 13, 2020

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