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If f(1)=5, f(2)=8  and \(f(x)=ax+bx+2\)  , what is the value of f(3)?

tertre  Jun 2, 2017
 #1
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We have the following system

 

a(1)  + b(1)  + 2  =  5

a(2)  + b(2)  + 2  = 8      simplify

 

a   + b   =   3      

2a + 2b  =  6     →   a + b  = 3    

 

Since  we have  two equal equations, we have infinite answers  for a and b

 

For instance...if   a  = 1, then b  = 2

 

And  our function becomes

 

f(x) =  x  + 2x  + 2    =    3x + 2

 

Then  f(3)   =  3(3) + 2   =  11

 

Maybe you meant that   f(x)  = ax^2 + bx + c        ???

 

 

 

cool cool cool

CPhill  Jun 2, 2017

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