SOLUTION: Determine whether each statement is true or false. Show your solution to prove your answer. 1. If f(x)=x-4 and g(x)= x+5,then (f-g)(x)=2 2. If f(x)=5x-4 and g(x)= 3x+5, then

Algebra ->  Functions -> SOLUTION: Determine whether each statement is true or false. Show your solution to prove your answer. 1. If f(x)=x-4 and g(x)= x+5,then (f-g)(x)=2 2. If f(x)=5x-4 and g(x)= 3x+5, then      Log On


   

Question 1189271: Determine whether each statement is true or false. Show your solution to prove your answer.
1. If f(x)=x-4 and g(x)= x+5,then (f-g)(x)=2
2. If f(x)=5x-4 and g(x)= 3x+5, then (f+g)(x)=8x+1
3. If f(x)=5x-4 and g(x)= 3x+5, then (fg)(x)=5x+4
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

1. If f%28x%29=x-4 and g%28x%29=+x%2B5,then %28f-g%29%28x%29=2
%28f-g%29%28x%29=x-4-%28x%2B5%29=x-4-x-5=-9-> the statement %28f-g%29%28x%29=2 is false

2. If+f%28x%29=5x-4+and+g%28x%29=+3x%2B5, then %28f%2Bg%29%28x%29=8x%2B1
%28f%2Bg%29%28x%29=5x-4%2B3x%2B5=8x%2B1->the statement %28f%2Bg%29%28x%29=8x%2B1+is true

3. If f%28x%29=5x-4 and g%28x%29=+3x%2B5, then %28fg%29%28x%29=5x%2B4
%28fg%29%28x%29=%285x-4%29%283x%2B5%29=15x%5E2+%2B+13x+-+20->the statement %28fg%29%28x%29=5x%2B4+is false