Let f: R R be a function such that f(x)=a x+3 x+4 x . Then, f(x) is invertible if
Mathematics · JEE Main · NTA Exams — Sets, Relations and Functions
Let \(f: R \rightarrow R\) be a function such that \(f(x)=a x+3 \sin x+4 \cos x\). Then, \(f(x)\)is invertible if
- \(a \in(-5,5)\)
- \(a E(-\infty,-5) \cup(5, \infty)\)
- \(a \in[-5, \infty]\)
- None of these
Answer
(A) a (-5,5)
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