Question

If f(x) is a polynomial function such that f(x) f(1) = f(x) + f (2) and f(3) = -80 then f (x) = f(1) =​

Answer 1

Answer:

4

Step-by-step explanation:

Consider f(x)=1−x  

n

 

Therefore the above function complies with the rule that

f(x)+f(1/x)=f(x).f(1/x)

=  

x  

n

 

−(1−x)  

2n

 

​

 

Now substituting x=3 we get f(x) as

1−3  

n

 

=−80

81=3  

n

 

n=4

Therefore f(x)=1−x  

4