Let `f : R rarr R` be defined by f(x) = cos (5x+2). Is f invertible? Justify your answer.

Explanation

To determine whether the function \( f(x) = \cos(5x + 2) \) is invertible, we need to check if it is both one-to-one (injective) and onto (surjective).

### Step 1: Check if \( f \) is one-to-one (injective)

A function is one-to-one if \( f(x_1) = f(x_2) \) implies \( x_1 = x_2 \).

1. Assume \( f(x_1) = f(x_2) \).
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