SOLUTION: Suppose that the functions f and g are defined for all real numbers x as follows F(x)= x-3 G(x)= 3x^2 Write expressions for (f•g)(x) and (f+g)(x) and evaluate (f-g)(3)

Algebra ->  Expressions -> SOLUTION: Suppose that the functions f and g are defined for all real numbers x as follows F(x)= x-3 G(x)= 3x^2 Write expressions for (f•g)(x) and (f+g)(x) and evaluate (f-g)(3)      Log On


   

Question 1114254: Suppose that the functions f and g are defined for all real numbers x as follows
F(x)= x-3
G(x)= 3x^2
Write expressions for (f•g)(x) and (f+g)(x) and evaluate (f-g)(3)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x-3
g%28x%29=3x%5E2
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.
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f%2Ag=%28x-3%29%2A3x%5E2=3x%5E2%28x-3%29
f%2Bg=x-3%2B3x%5E2=3x%5E2%2Bx-3
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.
.
f-g=x-3-3x%5E2=-3x%5E2%2Bx-3
Substituting for x=3,
f-g=-3%283%29%5E2%2B3-3
Work that out for the answer.