Răspuns :
Răspuns:
Explicație pas cu pas:
f(x) =1-3x=-3x+1
f(2017-x) il inlocuiesti pe x cu 2017-x=si f(2017-x)=-3(2017-x)+1
analog
f(2+x) il inlocuiesti pe x cu 2+x si f(2+x) = -3(2+x)+1
f(2016-x).........................................= -3(2016-x)+1
f(1+x) =............................................=-3(1+x)+1
atunci trebuie sa verificam relatia
-6051-3x+1-(-6x-3x+1)=-6048+3x+1-(-3-3x+1)
-6051+1-1-3x+9x=-6048+1+3-1+3x+3x
-6051+6x=-6051+6x
Adevarat
Calcul degeaba , dat sa incurce!!!
[tex]f(x) = 1-3x \\ \\ f(2017-x)-f(2+x) =\\ \\ = 1-3\cdot(2017-x) - \Big[1-3\cdot (2+x)\Big] = \\ = 1 - 3\cdot (2016-x+1)-\Big[1-3\cdot (1+x+1)\Big] = \\ =1-3\cdot (2016-x)-3-\Big[1-3\cdot (1+x)-3\Big] = \\ = 1-3\cdot (2016-x)-3-\Big[1-3\cdot(1+x)\Big]+3 = \\= 1-3\cdot (2016-x)-\Big[1-3\cdot(1+x)\Big]= \\ \\ = \boxed{f(2016-x)-f(1+x)}[/tex]