Let g(y) = min (-y+3, 2+7y). Find the max possible value of g(y).

Options
- 21/8
- 25/8
- 23/8
- 5/2

CORRECT ANSWER : 23/8

Discussion Board
Solution

Consider g(y) = x ; x = -y+3 and x = 2+7y
The maximum value of x is exist for only one value of y, and that to common point for both lines i.e., intersection of those lines
-y+3 = 2+7y
y = 1/8 that is where the maximum value of x exist
Substitute y in the both equations and the ans will be the minimum ( 23/8, 23/8)

Ganesh Banoth 09-3-2021 03:16 PM

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