SOLUTION: Hello, I need help answering the following question for my relations and functions homework: f(g+1) if f(x)=x^2 - 2x + 1

Algebra ->  Functions -> SOLUTION: Hello, I need help answering the following question for my relations and functions homework: f(g+1) if f(x)=x^2 - 2x + 1      Log On


   

Question 834754: Hello, I need help answering the following question for my relations and functions homework:
f(g+1) if f(x)=x^2 - 2x + 1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2+-+2x+%2B+1

f%28g%2B1%29=%28g%2B1%29%5E2+-+2%28g%2B1%29+%2B+1 Replace EVERY copy of x with g+1

f%28g%2B1%29=%28g%2B1%29%28g%2B1%29+-+2%28g%2B1%29+%2B+1

f%28g%2B1%29=g%28g%2B1%29%2B1%28g%2B1%29+-+2%28g%2B1%29+%2B+1

f%28g%2B1%29=g%5E2%2Bg%2Bg%2B1+-+2g-2+%2B+1

f%28g%2B1%29=g%5E2 <--- Final Answer