Define functions Fand G from R to R by the following formulas: F(x) = (x + 1)(x - 3) and G(X) = (x - 2)2 - 7: (T/F) F-G True False

Answer:FalseStep-by-step explanation:The given functions are[tex]F(x)=(x+1)(x-3)[/tex][tex]G(x)=(x-2)^2-7[/tex]Let as assume that we need to check whether the statement F = G is is true or false.If the domain and codomain of two functions are same, then the two functions are equal. In other words, two functions are not equal if the values of those functions re not equal for any input value.For x=0, [tex]F(0)=(0+1)(0-3)=-3[/tex][tex]G(0)=(0-2)^2-7=-3[/tex][tex]F(0)=G(0)[/tex]Similarly check for other values of x.For x=1, [tex]F(1)=(1+1)(1-3)=(2)(-2)=-4[/tex][tex]G(1)=(1-2)^2-7=(1)-7=-6[/tex][tex]F(1)\neq G(1)[/tex]So, we can say that[tex]F\neq G[/tex]Since F≠G, therefore the given statement is false.