Difference between revisions of "2007 AMC 12B Problems/Problem 9"

Line 11: Line 11:
 
==See Also==
 
==See Also==
 
{{AMC12 box|year=2007|ab=B|num-b=8|num-a=10}}
 
{{AMC12 box|year=2007|ab=B|num-b=8|num-a=10}}
 +
{{MAA Notice}}

Revision as of 10:51, 4 July 2013

A function $f$ has the property that $f(3x-1)=x^2+x+1$ for all real numbers $x$. What is $f(5)$?

$(A)7$ $(B)13$ $(C)31$ $(D)111$ $(E)211$

Solution

$3x-1 =5 \implies x= 2$

$f(3(2)-1) = 2^2+2+1=7 \implies (A)$

See Also

2007 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
Problem 8
Followed by
Problem 10
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions

The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png