Question

Given functions `"f"("x") = ("x"^2 - 4)/("x" - 2) "and g"("x") = "x" + 2, "x" le "R"`. Then which of the following is correct?

Options

• f is continuous at x = 2,
  g is continuous at x = 2

• f is continuous at x = 2,
  g is not continuous at x = 2

• f is not continuous at x = 2,
  g is continuous at x = 2

• f is not continuous at x = 2,
  g is not continuous at x = 2

Answer 1

f is not continuous at x = 2,
g is continuous at x = 2

Explanation:

as f(2) is not defined so is not continuous at x = 2 ‘g’ is a polynomial function, so continuous at x = 2.