SOLUTION: Please help me shed some light into this: If f(x-2)=-(x+1)^2 , then f(t-3)= ? I tried to plug in for f(x-2) = -(x-2+1)^2 = -x^2 + 2x -1 , but I can't find the answer for f(t-3)

Algebra ->  Rational-functions -> SOLUTION: Please help me shed some light into this: If f(x-2)=-(x+1)^2 , then f(t-3)= ? I tried to plug in for f(x-2) = -(x-2+1)^2 = -x^2 + 2x -1 , but I can't find the answer for f(t-3)       Log On


   

Question 466679: Please help me shed some light into this:
If f(x-2)=-(x+1)^2 , then f(t-3)= ?
I tried to plug in for f(x-2) = -(x-2+1)^2 = -x^2 + 2x -1 , but I can't find the answer for f(t-3) . Please help
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x-2) = -(x+1)² , then f(t-3) = ?
We need to find out what value we will have to substitute for x
to give t-3, so we set x-2 = t-3 and get
 
    x-2 = t-3
      x = t-1

So we substitute (t-1) for x in 

    f(x-2) = -(x+1)²
f((t-1)-2) = -((t-1)+1)²
  f(t-1-2) = -(t-1+1)²
    f(t-3) = -(t)²
    f(t-3) = -t²

Edwin