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'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 {{{(f(x))^2}}}
={{{(x+5)^2}}}  does not ={{{x^2+25}}}, observe:
={{{(x+5)(x+5)}}}
={{{x(x+5)+5(x+5)}}}
={{{x(x)+x(5)+5(x)+5(5)}}}
={{{x^2+5x+5x+25}}}
={{{x^2+10x+25}}}
You are missing your middle term, because you didn't FOIL.
I hope you liked my example, I admire your ethics.
Happy Calculating!!!
funmath