19
Part of 2002 AMC 12/AHSME
Problems(3)
f(f(x))=6
Source:
3/27/2008
The graph of the function is shown below. How many solutions does the equation f(f(x)) \equal{} 6 have?
[asy]size(220);
defaultpen(fontsize(10pt)+linewidth(.8pt));
dotfactor=4;pair P1=(-7,-4), P2=(-2,6), P3=(0,0), P4=(1,6), P5=(5,-6);
real[] xticks={-7,-6,-5,-4,-3,-2,-1,1,2,3,4,5,6};
real[] yticks={-6,-5,-4,-3,-2,-1,1,2,3,4,5,6};draw(P1--P2--P3--P4--P5);dot("(-7, -4)",P1);
dot("(-2, 6)",P2,LeftSide);
dot("(1, 6)",P4);
dot("(5, -6)",P5);xaxis("",-7.5,7,Ticks(xticks),EndArrow(6));
yaxis("",-6.5,7,Ticks(yticks),EndArrow(6));[/asy]
functionLaTeXspeedospiky
System
Source:
1/2/2009
If , , and are positive real numbers such that a(b \plus{} c) \equal{} 152, b(c \plus{} a) \equal{} 162, and c(a \plus{} b) \equal{} 170, then abc is
number theoryprime factorization
Area of Quadrilateral with 120 Degree Angles
Source:
4/6/2013
In quadrilateral , , , , and . Find the area of .
geometry