Published by:
CGP EDU Academic Team
Published on: August 13, 2026
For what real values of 'a' does the range of function
f(x) = 
not attain any value in the interval [1,1]?
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
Sol. f(x) = 
f(1) = 0 ∈ [–1, 1] for all values of 'a' except for these values for which denominator is zero.
⇒ f(x) assumes a value in [–1, 1] for all values of 'a' except of which denominator of f(x) becomes zero.
For a = 0; f(x) = – 
; clearly f(x) assumes values in [–1, 1]
Thus for all 'a' the given function has some values in [–1, 1]
∴ a ∈ φ
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