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Question
Let f: R → R be the function defined by f(x) = sin (3x+2) ∀ x ∈ R. Then f is invertible.
Options
True
False
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Solution
This statement is False.
Explanation:
Given that, f(x) = sin (3x+2) ∀ x ∈ R is not one-one fuction for all x ∈ R.
As sin (3x + 2) = 0
⇒3x + 2 = nπ, n ∈ Z
So, f is not invertible.
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