AP ICET 2019 Shift 1 Paper

Question : 115 of 200

Marks: +1, -0

Let f be defined on [0,7] and g(x) = |2x + 1|. Then the domain of (f o g) (x) is

Solution:

\fog (x) = f [g (x) ]=f [ |2x + 1|]

The domain of f(x) is [0, 7]

∴|2x+1|≤7

⇒-7 ≤ 2x+1 ≤ 7

⇒-4 ≤ x ≤ 3

Required domain

= [–4, 3]

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