Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Number of integers in the range of the function f(x) = 
; x ∈ R – {0} is :
Text Solution
Verified by ExpertsThe correct answer is:
0
(0)
Sol. f(x) = 
; x ∈ R – {0}
f(x) = 
; x ∈ R – {0, –1}
y = 
⇒ (y – 1)x 2 + (y – 1)x + y – 2 = 0
y ≠ 1, D ≥ 0
(y – 1) 2 – 4(y – 1)(y – 2) = 0 ⇒ 1 < y ≤ 7/3
at x = 0 we get y = 2
x = 0 ij y = 2
& y = 2 ⇒ 2 = 
⇒ x(x + 1) = 0
⇒ x = 0, –1 but x ≠ 0, –1 so y ≠ 2
Range 
– {2}.
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