Let f(x) be a function which contains 2 in its domain and range. Suppose that f(f(x))*(1+(f(x)) = -f(x) for all numbers x in the domain of f(x).
Thank you for your help.
I did two of these for you... from what class are you getting these questions?
I was able to see the trick in the first two but this one seems truly complicated.
Is your class teaching any strategies for dealing with these?
How about this.
f(f(x))∗(1+(f(x))=−f(x)sof(f(2))∗(1+(f(2))=−f(2)letf(2)=kf(k)∗(1+k)=−kf(k)=−k1+k
This has to work for all the other values in the domain as well so I will replace k with x
f(x)=−x1+x
This contains 2 in its range as well as its domain.
+78 
