Solving f(x) = f'(x) + f''(x) with Boundary Conditions

Math Problem Statement

If f is a real valued function in the interval [a,b] such that f(x) = f'(x) + f''(x), f(a) = f(b) = 0, then which option is true?

The image contains a mathematical question with a function $f$ defined on the interval $[a, b]$ . The functional relationship given is:

$f(x) = f'(x) + f''(x), \quad f(a) = f(b) = 0$

The question asks which option is true, but I can't see the available options.

Would you mind providing the options or specifying what you need help with regarding this question?

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