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Hello, I need help with these three problems I'm not good with this so I'd appreciate help :)

 

1st question:

 

 

2nd Question:

 

 

3rd question (this looks sooo difficult!):

 Mar 12, 2019
edited by Guest  Mar 12, 2019
 #1
avatar+111437 
+1

Only the last one is actually tough....the notation may be giving you trouble......

 

First one

 

(f + g)(x)   means  f(x) + g(x)  =  [ 5x^2 - 2x ] + [ 3x^2 + x - 4 ]  =   8x^2 - x - 4

 

 

Second

 

(f * g) (x)   means   f(x) * g(x)  =

 

 [ 3x^2 + 5 ] * [  x - 2 ]  =

 

3x^3 - 6x^2 + 5x - 10

 

 

Last one   

 

(f / g)(x)    =   f(x) / g(x) 

 

[ hint : factor the denominator first....see if you can use one of these factors in the numerator  !!!]

 

4x^2 + 19x - 5                (4x - 1)(x + 5)              x + 5

____________   =         ____________  =      ______ 

 4x^2 - x                              x(4x - 1)                    x

 

Note that  either  x = 0  or  x = 1/4    makes the second denominator 0....so...we can't have these values of x

 

So...... third answer  !!!

 

 

cool cool cool

 Mar 12, 2019
 #2
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+1

Thank you!laugh

Guest Mar 12, 2019

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