Question

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

Options

• True

• False

Answer 1

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.