Difference between revisions of "2007 AMC 12B Problems/Problem 9"
m (Added the section title) |
|||
| Line 1: | Line 1: | ||
| + | ==Problem== | ||
A function <math>f</math> has the property that <math>f(3x-1)=x^2+x+1</math> for all real numbers <math>x</math>. What is <math>f(5)</math>? | A function <math>f</math> has the property that <math>f(3x-1)=x^2+x+1</math> for all real numbers <math>x</math>. What is <math>f(5)</math>? | ||
| Line 4: | Line 5: | ||
== Solution == | == Solution == | ||
| − | |||
<math>3x-1 =5 \implies x= 2</math> | <math>3x-1 =5 \implies x= 2</math> | ||
Revision as of 23:56, 14 February 2019
Problem
A function 
has the property that 
for all real numbers 
. What is 
?
Solution
See Also
| 2007 AMC 12B (Problems • Answer Key • Resources) | |
| 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. 
