Cud u please post the detailed solution.. how to interpret the graph and construct one for f(f(x)).. its easier to do such problems graphically.. than the regular tedious way..
@vamsi, the solution given by bhaskar is pretty neat. Let me explain again
f(f(x))=6 will have only two solutions in f(x) as shown in the graph that is f(x)=6 has two solutions in x hence f(x)=-2,1 now we need to basically find the solutions of f(x)=-2,1 in x which can be done by drawing lines y=-2 and y=1 and letting them intersect the graph of y=f(x) we will get 6 points of intersection hence 6 solutions
My take (e)6
ReplyDeletef(x) should be 1 or -2 for f(f(x)) to be 6..Now draw a line y = 1 and y = -2, the lines touch the graph at 4+2 points
nicely done !!
ReplyDelete10/10
Cud u please post the detailed solution.. how to interpret the graph and construct one for f(f(x)).. its easier to do such problems graphically.. than the regular tedious way..
ReplyDelete@vamsi,
ReplyDeletethe solution given by bhaskar is pretty neat.
Let me explain again
f(f(x))=6 will have only two solutions in f(x) as shown in the graph that is f(x)=6 has two solutions in x
hence f(x)=-2,1
now we need to basically find the solutions of f(x)=-2,1 in x
which can be done by drawing lines y=-2 and y=1 and letting them intersect the graph of y=f(x) we will get 6 points of intersection
hence 6 solutions