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CGP EDU Academic Team
Published on: August 13, 2026
Let f(x) be a function whose domain is [– 5, 7]. Let g(x) = |2x + 5|, then domain of (fog) (x) is
Text Solution
Verified by ExpertsThe correct answer is:
C
Domain of f(g(x)). Range of g(x) ≡ Domain of f(x)
⇒ – 5 ≤ |2x + 5| ≤ 7 ⇒ 0 ≤ |2x + 5| ≤ 7 ⇒ –7 ≤ 2x + 5 ≤ 7
⇒ – 12 ≤ 2x ≤ 2 ⇒ – 6 ≤ x ≤ 1
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