SOLUTION: Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=x+6 g(x)=4x+6 write the expressions for (f-g)(x) and (f*g)(x) and evaluate (f+g)(4)

Algebra ->  Rational-functions -> SOLUTION: Suppose that the functions f and g are defined for all real numbers x as follows. f(x)=x+6 g(x)=4x+6 write the expressions for (f-g)(x) and (f*g)(x) and evaluate (f+g)(4)      Log On


   

Question 1083424: Suppose that the functions f and g are defined for all real numbers x as follows.
f(x)=x+6
g(x)=4x+6
write the expressions for (f-g)(x) and (f*g)(x) and evaluate (f+g)(4)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

f%28x%29=x%2B6
g%28x%29=4x%2B6
write the expressions for:
%28f-g%29%28x%29=+x%2B6-%284x%2B6%29=x%2B6-4x-6=-3x
%28f%2Ag%29%28x%29=+%28x%2B6%29%284x%2B6%29=4x%5E2%2B6x%2B24x%2B36=4x%5E2%2B30x%2B36
evaluate:
%28f%2Bg%29%284%29=%28x%2B6%29%2B%284x%2B6%29=%284%2B6%29%2B%284%2A4%2B6%29=10%2B22=32