You can put this solution on YOUR website! f(x) = –x – 3 substitite x for (a – 2) and solve as much as possible.
f(a-2)=-x-3
f(a-2)=-(a-2)-3
f(a-2)=-a+2-3
f(a-2)=-a-1
or f(a-2) = a+1
or y=a+1
.
check by plugging y=a+1 and x=a-2 back into the original equation and solve.
a+1=-(a-2)-3
a+1-a+2-3
a+1=-a+2-3
a+1=-a-1
a+1=(-1)(-a-1) [multiply the left side by (-1)
a+1=a+1 [checks out]
