f(x)=1(1-x),x≠0,1, then the graph of the function y=f(f(f(x)),x>1 is
a circle
an ellipse
a straight line
a pair of straight lines
Explanation for the correct option:
Step 1. Find the value of y=f(f(f(x))):
f(x)=1(1–x)
f(f(x))=1[1–f(x)]
=11-1(1-x)
=(1–x)(-x)
=x–1x
Step 2. Put the value of f(f(x)) in y=f(f(f(x)))
=11–(x–1)x
=xx–x+1
=x
∴y=xis a straight line.
Hence, Option ‘C’ is Correct.