SOLUTION: Given two functions f(x)=2x-5 and g(x)=x^2. Are the following statements true or false and why? f(x)+g(x)=g(x)+f(x) f(x)-g(x)=g(x)-f(x) f(2)+f(3)=f(5) f(0)is always equ

Algebra ->  Functions -> SOLUTION: Given two functions f(x)=2x-5 and g(x)=x^2. Are the following statements true or false and why? f(x)+g(x)=g(x)+f(x) f(x)-g(x)=g(x)-f(x) f(2)+f(3)=f(5) f(0)is always equ      Log On


   

Question 313197: Given two functions f(x)=2x-5 and g(x)=x^2. Are the following statements true or false and why?
f(x)+g(x)=g(x)+f(x)
f(x)-g(x)=g(x)-f(x)
f(2)+f(3)=f(5)
f(0)is always equal to zero
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29%2Bg%28x%29=g%28x%29%2Bf%28x%29,True by the commutative property of addition.
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2x-5-x%5E2=x%5E2-2x%2B5 False, there is no commutative property of subtraction.
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f%282%29%2Bf%283%29=%282%282%29-5%29%2B%282%283%29-5%29=%284-5%29%2B%286-5%29=-1%2B1=0
f%285%29=2%285%29-5=5 So clearly, this is false.
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f%280%29=2%280%29-5=-5 It doesn't equal 0. False.