# Answer the following: Find the range of the following function. f(x) = 11+x - Mathematics and Statistics

Sum

Find the range of the following function.

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

#### 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]

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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