SOLUTION: for the pair of functions, find the indicated sum, difference, product, or quotient, f(x)=x-4, g(x)=-4x^2+16x-4 find (fg)(3)

SOLUTION: for the pair of functions, find the indicated sum, difference, product, or quotient, f(x)=x-4, g(x)=-4x^2+16x-4 find (fg)(3)

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Question 883740: for the pair of functions, find the indicated sum, difference, product, or quotient,
f(x)=x-4, g(x)=-4x^2+16x-4
find (fg)(3)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Multiply the two functions (you don't have to algebraically expand everything out) and plug in x = 3 to get...

(f*g)(x) = f(x)*g(x)
(f*g)(x) = ( f(x) )* ( g(x) )
(f*g)(x) = ( x-4 )* ( -4x^2+16x-4 )
(f*g)(3) = ( 3-4 )* ( -4(3)^2+16(3)-4 )
(f*g)(3) = -8
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