SOLUTION: If f(x)=x^2, which of the following is equal to f(x+1)? A. x^2+1 B. x^2-1 C. x^2+x D. x^2+2x+1 E. 1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If f(x)=x^2, which of the following is equal to f(x+1)? A. x^2+1 B. x^2-1 C. x^2+x D. x^2+2x+1 E. 1      Log On


   

Question 458695: If f(x)=x^2, which of the following is equal to f(x+1)?
A. x^2+1
B. x^2-1
C. x^2+x
D. x^2+2x+1
E. 1
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2


f%28x%2B1%29=%28x%2B1%29%5E2 Note: replace EVERY 'x' with 'x+1'


f%28x%2B1%29=%28x%2B1%29%28x%2B1%29


f%28x%2B1%29=x%2Ax%2Bx%2A1%2B1%2Ax%2B1%2A1


f%28x%2B1%29=x%5E2%2Bx%2Bx%2B1


f%28x%2B1%29=x%5E2%2B2x%2B1


So the answer is D)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If f(x)=x^2, which of the following is equal to f(x+1)?
----
f(x+1) = (x+1)^2 = x^2+2x+1
----------------------------------
Cheers,
Stan H.
=============
A. x^2+1
B. x^2-1
C. x^2+x
D. x^2+2x+1
E. 1