Question
Download Solution PDFLet f(x) = ax7 + bx3 + cx - 5, where a, b and c are constants. If f(-7) = 7, then f(7) equals
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is option 1.
Given: f(x) = ax7 + bx3 + cx - 5, where a, b and c are constants. If f(-7) = 7,
Calculation:
⇒ f(x) = ax7 + bx3 + cx - 5,
If f(-7) = 7,
⇒ f(-7) = a(-7)7 + b(-7)3 + c(-7) - 5
⇒ 7 = -77a -73b - 7c - 5
⇒ 7 + 5 = -(77a + 73b + 7c)
⇒ (77a + 73b + 7c) = - 12 ----(1)
⇒ f(7) = a(7)7 + b(7)3 + c(7) - 5,
⇒ f(7) = 77a + 73b + 7c - 5 -----(2)
From equation (1) and (2)
⇒ f(7) = -12 - 5 = -17
Hence, the value of f(7) will be -17.
Last updated on Jul 18, 2025
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