Careful: the Graph Is Shifted
Difficulty: Hard · Topics: Algebra, Functions, Inverse Functions
Ehtiyot bo‘ling: grafik siljitilgan
The line shown is the graph of y=f(x+1) — not of y=f(x).
graph "x":[-3,4.5],"y":[-4,6.5],"xTicks":[-3,-2,-1,1,2,3,4],"yTicks":[-4,-3,-2,-1,1,2,3,4,5,6],"grid":true,"clip":true,"label":"Line y = f(x + 1) through (0, 1) and (2, 5)","items":["type":"line","from":[-2.2,-3.4],"to":[2.4,5.8],"start":"arrow","end":"arrow","type":"point","at":[0,1],"label":"(0, 1)","anchor":"nw","italic":false,"type":"point","at":[2,5],"label":"(2, 5)","anchor":"nw","italic":false,"type":"guide","at":[2,5],"to":"both","type":"label","at":[2.45,3.6],"text":"y = f(x + 1)","anchor":"e","size":13]
Find f^-1(5)+f^-1(1).
Rasmdagi chiziq — y=f(x+1) ning grafigi, y=f(x) niki emas .
graph "x":[-3,4.5],"y":[-4,6.5],"xTicks":[-3,-2,-1,1,2,3,4],"yTicks":[-4,-3,-2,-1,1,2,3,4,5,6],"grid":true,"clip":true,"label":"Line y = f(x + 1) through (0, 1) and (2, 5)","items":["type":"line","from":[-2.2,-3.4],"to":[2.4,5.8],"start":"arrow","end":"arrow","type":"point","at":[0,1],"label":"(0, 1)","anchor":"nw","italic":false,"type":"point","at":[2,5],"label":"(2, 5)","anchor":"nw","italic":false,"type":"guide","at":[2,5],"to":"both","type":"label","at":[2.45,3.6],"text":"y = f(x + 1)","anchor":"e","size":13]
f^-1(5)+f^-1(1) ni toping.