if f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real x, then find f(x).

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suvidhi mehta · Answer

2f(x)+f(1-x)=x^2 this is a functional equality replace x by 1-x in whole equation 2f(1-x)+f(x)=(1-x)^2 now i think you can solve the above two equation to eliminate f(1-x) and get f(x) i hope it helps you reach the answer

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if f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real x, then find f(x).

if f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real x, then find f(x).

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if f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real x, then find f(x).

if f(x) satisfies the relation 2f(x)+f(1-x)=x^2 for all real x, then find f(x).

1 Answers

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