Answer to Question #314471 in Calculus for sam

Question

Determine whether the following functions are continuous at a given point. Show your complete solution.

1. ƒ(𝑥) = 𝑥2−4 at 𝑥 = 2 𝑥−2

2. ƒ(𝑥) = 𝑥2−25 at 𝑥 = 2 𝑥−5

Answer 1

$f(x)=x^2-4$ is continuous at any point since it is a polynomial. Hence it is continuous at given point.

$f(x)=x^2-25$ is continuous at any point since it is a polynomial. Hence it is continuous at given point.