SOLUTION: Let f(x)=x^2+3x and g(x)=4x-1, and find a. (f*g)(0) b. (g*f)(0) c. (f*g)(x) d. (g*f)(x)

Algebra ->  Linear-equations -> SOLUTION: Let f(x)=x^2+3x and g(x)=4x-1, and find a. (f*g)(0) b. (g*f)(0) c. (f*g)(x) d. (g*f)(x)      Log On


   

Question 922876: Let f(x)=x^2+3x and g(x)=4x-1, and find
a. (f*g)(0)
b. (g*f)(0)
c. (f*g)(x)
d. (g*f)(x)
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Let f%28x%29=x%5E2%2B3x and g%28x%29=4x-1, and find
a. %28f%2Ag%29%280%29=%28x%5E2%2B3x%29%284x-1%29=%280%5E2%2B3%2A0%29%284%2A0-1%29=0%28-1%29=0
b. %28g%2Af%29%280%29=%28f%2Ag%29%280%29...commutation property of multiplication; so,%28g%2Af%29%280%29=0
c. %28f%2Ag%29%28x%29=%28x%5E2%2B3x%29%284x-1%29=4x%5E3-x%5E2%2B12x-3x=4x%5E3-x%5E2%2B9x
d. %28g%2Af%29%28x%29=%28f%2Ag%29%28x%29...commutation property of multiplication; so,%28g%2Af%29%28x%29=4x%5E3-x%5E2%2B9x