SOLUTION: 1. Given the function f(x) = x^2 + 6x, which of the following equals f(1 + x)?

Algebra ->  Equations -> SOLUTION: 1. Given the function f(x) = x^2 + 6x, which of the following equals f(1 + x)?       Log On


   

Question 972550: 1. Given the function f(x) = x^2 + 6x, which of the following equals f(1 + x)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+x%5E2+%2B+6x


f%281%2Bx%29+=+%281%2Bx%29%5E2+%2B+6%281%2Bx%29 Replace EVERY copy of x with 1+x


f%281%2Bx%29+=+%281%2Bx%29%281%2Bx%29+%2B+6%281%2Bx%29 Use the rule x%5E2+=+x%2Ax


f%281%2Bx%29+=+1%281%2Bx%29%2Bx%281%2Bx%29+%2B+6%281%2Bx%29 Distribute


f%281%2Bx%29+=+1%2Bx%2Bx%2Bx%5E2%2B6%2B6x Distribute


f%281%2Bx%29+=+x%5E2%2B8x%2B7 Combine like terms.