A Tent Applied Three Times
Difficulty: Hard · Topics: Algebra, Functions, Composition of Functions
Uch marta qo‘llangan "chodir"
The graph of f:[0, 4]→[0, 4] is the "tent" shown.
graph "x":[-0.5,5],"y":[-0.6,4.6],"xTicks":[1,2,3,4,5],"yTicks":[1,2,3,4],"grid":true,"clip":true,"label":"Tent graph from (0,0) up to (2,4) and down to (4,0), with the line y = 2","items":["type":"line","from":[0,0],"to":[2,4],"start":"closed","type":"line","from":[2,4],"to":[4,0],"end":"closed","type":"guide","at":[2,4],"to":"both","type":"line","from":[0,2],"to":[4.6,2],"dash":true,"ink":true,"width":1.1,"type":"label","at":[4.6,2.2],"text":"y = 2","anchor":"n","size":12]
How many x in [0, 4] satisfy fbig(f(f(x))big)=2?
f:[0, 4]→[0, 4] ning grafigi — rasmdagi "chodir".
graph "x":[-0.5,5],"y":[-0.6,4.6],"xTicks":[1,2,3,4,5],"yTicks":[1,2,3,4],"grid":true,"clip":true,"label":"Tent graph from (0,0) up to (2,4) and down to (4,0), with the line y = 2","items":["type":"line","from":[0,0],"to":[2,4],"start":"closed","type":"line","from":[2,4],"to":[4,0],"end":"closed","type":"guide","at":[2,4],"to":"both","type":"line","from":[0,2],"to":[4.6,2],"dash":true,"ink":true,"width":1.1,"type":"label","at":[4.6,2.2],"text":"y = 2","anchor":"n","size":12]
[0, 4] dagi nechta x fbig(f(f(x))big)=2 ni qanoatlantiradi?