8.If f(x)=(x^(2)+2)/(x) then find the value of 2f(-1).
Answers
Answered by
1
f(x) -2f(1-x)=x^2+2 …..eq1
Putting x=y in above equation
f(y)-2f(1-y)=y^2+2 ……eq2
Putting x=1-y in first equation
f(1-y)-2f(1-[1-y])=(1-y)^2+2 .……eq3
Multiply by 2 in eq3 we get
2f(1-y)-4f(y)=2×(1-y)^2 +2×2 ……..eq4
Adding eq4 and eq2 we get
-3f(y)=y^2 +2+ 2×(1-y)^2 + 4
f(y)= —(3×y^2–4y+8)/3
Then put y=x again to have f(x)
f(x)= —(3×x^2–4x+8)/3
Similar questions