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avatar+381 

About combining functions

 

1.

 

Given f(x)=2x^2+3x and g(x)=5x^2−2x−6 .

 

What is (f+g)(x) ?

 

Choices

7x^2+x−6

10x^2+x+6

​ 3x^2−5x−6 ​

​ −3x^2+5x+6 

 

2.

Given f(x)=3x^2+10x−8 and g(x)=3x^2−2x .

What is (f/g)(x) ?

Thanks!!!!!!!!!!!

 Mar 12, 2019
 #1
avatar+106515 
+1

(f + g) (x)  =  f(x) + g(x)  =  [ 2x^2 + 3x ] + [ 5x^2 - 2x - 6 ]   =  7x^2 + x - 6

 

( f /g)(x)  =  f(x) / g(x)  =

 

3x^2 + 10x - 8            (3x - 2) (x + 4)             x + 4

____________ =       ____________  =      _____       {   x not equal to 0 or 2/3  }

3x^2  - 2x                    x (3x  - 2)                     x

 

 

 

cool cool cool

 Mar 12, 2019
 #2
avatar+381 
+1

Thank you CPhill!! It helps to see how its done before I try my hand at some of these :)

PhoenixForever  Mar 12, 2019
 #3
avatar+106515 
0

Yep, PF....examples definitely help  !!!!

 

 

coolcool cool

CPhill  Mar 12, 2019

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