Solve Linear Equation for Extra Credit: f(x+a)=f(x^2+a)

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The equation f(x+a) = f(x^2+a) requires clarification on the function f and the variable a to determine the value of x. Participants in the discussion highlight the need for more information about the function f to solve the equation effectively. The problem could involve finding a specific function f that satisfies the equation for all x. Without additional details, it's challenging to provide a definitive solution. Understanding the context of the function is crucial for solving the linear equation.
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We are studying linear equations in school and the prof gave us this to solve for extra credit:

f(x+a) = f(x^2+a)
what is x?

I don't know what type of equation that is. Can anyone tell me?

Edit: I posted in the wrong section... moving it now.
 
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CBrent said:
f(x+a) = f(x^2+a)
what is x?

Depends on what f and a are... are you given the function f? Or are you asked to determine a function f such that the relation you wrote down holds true for every x? Or something completely different?
 

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