For #2 on the functions chapter, could you have just added 1 to each side to get f(x) by itself?
f(x-1)= x+1–>f(x)=x+2
I’m having trouble wrapping my head around your previous explanations and wanted to confirm that this method works.
That works in this case because there’s no multiplication going on.
If, for example, you had , you could not just add 1 to each side.
In that case, you’d need to think through what’s happening in the function. What happens to to turn it into ? Well, first it needs to be multiplied by 3, right?
But when is multiplied by 3, you get .
So after it’s multiplied by 3, you need to add 4 to bring it up to .
Your steps in this case were:
- Multiply by 3
- Add 4
Therefore, .