Question

If \( f(x) \) is an even function and \( g(x) \) is an odd function, then the function \( f \circ g \) is:

• A. an even function
• B. an odd function
• C. neither even nor odd
• D. a periodic function

Hint:

The composition of an even function and an odd function is always an even function.

Answer 1

The Correct Option is A

Step 1: Analyze the composition of functions.
The composition of an even function \( f(x) \) and an odd function \( g(x) \) results in an even function. Therefore, \( f \circ g \) is an even function.
Thus, the correct answer is (1).