Precalculus ! 1. find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x. 2. find (f*g)(x) when f(x)=(sqrt)x+3/x and g(x)=(sqrt)x+3/2x. 3. find (f+g)(x) when f(x)=x^3-2x^2+1 and g(x)=4x^3-5x+7

1)  

2)

3)    

Step-by-step explanation:

1) Given : and

To find :            

Solution :  

We know that,

i.e g(x) within f(x),

Therefore,  

2) Given : and

To find :            

Solution :

We know that,

Therefore,  

3) Given : and

To find :            

Solution :

We know that,

Therefore,

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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