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What is (f⋅g)(x)?

f(x)=x^2+2x−6

g(x)=x^4+3

 

 

What is (f−g)(x)?

 

f(x)=x^3−2x^2+12x−6

g(x)=4x^2−6x+4

 May 17, 2019
 #1
avatar+8965 
+3

What is  (f ⋅ g)(x) ?

f(x)  =  x2 + 2x - 6

g(x)  =  x4 + 3

 

(f ⋅ g)(x)  =  f(x) g(x)         Substitute  (x2 + 2x - 6)  in for  f(x)  and substitute  (x4 + 3)  in for  g(x)

 

(f ⋅ g)(x)  = (x2 + 2x - 6) (x4 + 3)

 

(f ⋅ g)(x)  = (x2 + 2x - 6)(x4 + 3)

 

If you need to, you can expand the right side of the equation.

 May 17, 2019
 #2
avatar+8965 
+3

What is  (f - g)(x) ?

f(x)  =  x3 - 2x2 + 12x - 6

g(x)  4x2 - 6x + 4

 

(f - g)(x)  =  f(x) - g(x)         Substitute  (x3 - 2x2 + 12x - 6)  in for  f(x)  and substitute  (4x2 - 6x + 4)  in for  g(x)

 

(f - g)(x)  =  (x3 - 2x2 + 12x - 6) - (4x2 - 6x + 4)

 

(f - g)(x)  =  (x3 - 2x2 + 12x - 6) - (4x2 - 6x + 4)

 

If you need to, you can simplify this by distributing the -1 outside the parenthesees and combining like terms.

 May 17, 2019

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