If f(x-3) = 9x^2 + 2 then f(5) is ________.

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{"content":[{"content":[{"text":"Step 1 (Formulate variable matching):","type":"text","marks":[{"type":"bold"}]},{"text":" We are given the functional equation:","type":"text"}],"type":"paragraph"},{"type":"math_block","attrs":{"latex":"f(x-3) = 9x^2 + 2"}},{"content":[{"text":"We want to find the value of ","type":"text"},{"attrs":{"latex":"f(5)"},"type":"math_inline"},{"type":"text","text":". To do this, we set the input argument equal to 5:"}],"type":"paragraph"},{"attrs":{"latex":"x - 3 = 5"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 2 (Solve for x):","type":"text"}],"type":"paragraph"},{"type":"math_block","attrs":{"latex":"x = 5 + 3 = 8"}},{"content":[{"type":"text","marks":[{"type":"bold"}],"text":"Step 3 (Substitute x into the formula):"},{"text":" Now we substitute ","type":"text"},{"attrs":{"latex":"x = 8"},"type":"math_inline"},{"text":" into the right-hand side of the functional equation:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"f(5) = 9(8^2) + 2"},"type":"math_block"},{"attrs":{"latex":"f(5) = 9(64) + 2"},"type":"math_block"},{"attrs":{"latex":"f(5) = 576 + 2 = 578"},"type":"math_block"},{"content":[{"marks":[{"type":"bold"}],"text":"Step 4 (Conclusion):","type":"text"},{"text":" The value of ","type":"text"},{"attrs":{"latex":"f(5)"},"type":"math_inline"},{"type":"text","text":" is exactly "},{"marks":[{"type":"code"}],"text":"578","type":"text"},{"text":".","type":"text"}],"type":"paragraph"}],"type":"doc"}

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