Question
Download Solution PDFCalculate the value of p if function f (x) = [1.2] p + [-2.23] p + p = 3[1.2], where [.] show the greatest integer function.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
The real function f: R → R defined by f (x) = [x], x ∈R picks the value of the greatest integer less than or equal to x, is called the greatest integer function.
Thus f (x) = [x] = – 1 for – 1 ≤ x < 0
And f (x) = [x] = 0 for 0 ≤ x < 1
[x] = 1 for 1 ≤ x < 2
[x] = 2 for 2 ≤ x < 3 and so on
CALCULATION:
Given function is f (x) = [1.2] p + [-2.23] p + p = 3[1.2]
⇒ [1.2] = 1, [-2.23] = -3
∴ p – 3p + p = 3 × 1
⇒ p = -3Last updated on Jul 8, 2025
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