{"status": "success", "data": {"description_md": "**POTD August 22, 2024**\n\nLet $F(x)$ be a real-valued function defined for all real $x \\neq 0, 1$ such that $$ F(x)+F\\left(\\frac{x-1}{x}\\right)=1+x.$$ Find $4F(2)$.", "description_html": "<p><strong>POTD August 22, 2024</strong></p>&#10;<p>Let <span class=\"katex--inline\">F(x)</span> be a real-valued function defined for all real <span class=\"katex--inline\">x \\neq 0, 1</span> such that <span class=\"katex--display\"> F(x)+F\\left(\\frac{x-1}{x}\\right)=1+x.</span> Find <span class=\"katex--inline\">4F(2)</span>.</p>&#10;", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 2, "problem_name": "Problem of the Day #253", "can_next": false, "can_prev": false, "nxt": "", "prev": ""}}