WBCS.LIVE practice question

If f(x) = 5x + 15x + 2, then the value of f(-x)

Solve this multiple-choice question and check the correct answer with its explanation below.

Answer options

  1. f(x)
  2. -f(x)
  3. f(-1x)
  4. -f(1x)

Correct answer and explanation

Correct answer: f(x)

Explanation: āœ… Correct Answer: A) f(x) šŸ“š Explanation: If you replace x with -x in the function f(x) = 5^x + 1/5^x + 2, the terms simply swap their positions. This results in the same mathematical expression as before. Because the result is identical, f(-x) is equal to f(x). This makes it an 'even' function in mathematics where the sign of the input does not change the total value.