Question
Download Solution PDFIf f(x) = 2x3 + 7x2 - 3, find f(x - 1).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Real valued function: A function f : A → B is called a real-valued function if B is a subset of R (set of all real numbers).
If A and B both are subsets of R, then f is called a real function.
Calculation:
f(x) = 2x3 + 7x2 - 3
∴ f(x - 1) = 2(x - 1)3 + 7(x - 1)2 - 3
⇒ 2(x3 - 3x2 + 3x - 1) + 7(x2 + 1 - 2x) - 3
⇒ 2x3 - 6x2 + 6x - 2 + 7x2 + 7 - 14x - 3
⇒ 2x3 + x2 - 8x + 2
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