Questions
Let f be a function with domain [–3, 5] and let g (x) = |3x + 4|. Then the domain of ( fog) (x) is
a
−3,13
b
−3,13
c
−3,13
d
None of these
detailed solution
Correct option is B
Solution: (B)( fog) (x) = f [g (x)] = f (|3x + 4|)Since the domain of f is [–3, 5],∴ –3 ≤ |3x + 4| ≤ 5 ⇒ |3x + 4|≤ 5⇒ –5 ≤ 3x + 4 ≤ 5⇒ –9 ≤ 3x ≤ 1⇒−3≤x≤13∴Domain of fog is −3,13Talk to our academic expert!
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