Difference between revisions of "2007 AMC 12B Problems/Problem 9"
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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>? | ||
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<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 |
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