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

 

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WhichWitchIsWhich  Oct 26, 2017
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f (3x - 1)  =  f (5)     which implies that

 

3x - 1  =  5      add 1 to both sides

 

3x = 6     divide both sides by 3

 

x = 2

 

So.....subbing this value into the function, we have

 

(2)^2  + (2)  + 1     =      4  + 2  +  1    =     7 

 

 

cool cool cool

CPhill  Oct 26, 2017

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