Let f(x) is a polynomial function such that f(x)+f ( 1 x )=f(x) f ( 1 x ), x 0 and f(3)=10 , if f(x) d x=g(x)+c and g(1)= 4 3 , then the value of g(3) is

Step-by-step solution

Let, f(x)=1+x^n or f(x)=1-x^n f(3)=10 So, f(x)=1+x^2 Then, f(x) d x= (1+x^2 ) d x=x+ x^3 3 +c array ll & g(x)=x+ x^3 3 +c & g(1)= 4 3 & 4 3 =1+ 1 3 +c & C=0 array Therefore, g(x)=x+ x^3 3 and g(3)=3+ 3^3 3 =12