SOLUTION: I honestly have no idea how to answer this problem. It's not from a book, my teacher made it up. f(x)=x+4 find (f(x))^2 I wrote down (x+4)^2 which equals x^2+16 just to have

Algebra ->  Functions -> SOLUTION: I honestly have no idea how to answer this problem. It's not from a book, my teacher made it up. f(x)=x+4 find (f(x))^2 I wrote down (x+4)^2 which equals x^2+16 just to have      Log On


   

Question 56925: I honestly have no idea how to answer this problem. It's not from a book, my teacher made it up.
f(x)=x+4
find (f(x))^2
I wrote down (x+4)^2 which equals x^2+16 just to have an answer. I'd rather have an example problem like this one so I could learn from that instead of just having a correct answer. Thank you!
Found 2 solutions by stanbon, funmath:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=x+4
find (f(x))^2
[f(x)]^2=(x+4)^2
=(x+4)(x+4)
Use the FOIL method to get the product, as follows:
F: x*x=x^2
O: x*4=4x
I: 4*x=4x
L: 4*4=16
Addthe results to get:
x^2+8x+16
Hope this helps.
Cheers,
Stan H.

Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
I honestly have no idea how to answer this problem. It's not from a book, my teacher made it up.
f(x)=x+4
find (f(x))^2
I'd rather have an example problem like this one so I could learn from that instead of just having a correct answer. Thank you!
:
Ok, here you go.
What if f(x)=x+5
Find %28f%28x%29%29%5E2
=%28x%2B5%29%5E2 does not =x%5E2%2B25, observe:
=%28x%2B5%29%28x%2B5%29
=x%28x%2B5%29%2B5%28x%2B5%29
=x%28x%29%2Bx%285%29%2B5%28x%29%2B5%285%29
=x%5E2%2B5x%2B5x%2B25
=x%5E2%2B10x%2B25
You are missing your middle term, because you didn't FOIL.
I hope you liked my example, I admire your ethics.
Happy Calculating!!!
funmath