Maharashtra State BoardHSC Science (Electronics) 11th
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Answer the following: Find the range of the following function. f(x) = 11+x - Mathematics and Statistics

Sum

Answer the following:

Find the range of the following function.

f(x) = `1/(1 + sqrt(x))`

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Solution

f(x) = `1/(1 + sqrt(x))` = y, (say)

∴ `sqrt(x)  y + y` = 1

∴ `sqrt(x) = (1 - y)/y ≥ 0` 

∴ `(y - 1)/y ≤ 0`

∴ 0 < y ≤ 1

Range = (0, 1]

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 6 Functions
Miscellaneous Exercise 6 | Q II. (41) (c) | Page 132
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