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Let f: R→R be the function defined by f(x) = sin(3x+2), x R. Then f is invertible.

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False

Here, f(x) = sin(3x+2), x R. This function is not a one-one onto function for all x \in R.\\

Again, f(x) = sin(3x+2) = 0\\

or, 3x + 2 = n\pi, n \in \ Z.

Hence, the function is not invertible.

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