Prove that the function f (x) = 5x – 3 is continuous at x = 0, at x = – 3 and at x = 5.

The given function is f(x) = 5x -3

At x = 0, f(0) = 5 × 0 – 3 = -3

Thus,

Therefore, f is continuous at x = 0

At x = -3, f(-3) = 5 × (-3) – 3 = -18

Thus,

Therefore, f is continuous at x = -3

At x = 0, f(5) = 5 × 5 – 3 = 22

= 5 × 5 – 3 = 22

Thus,

Therefore, f is continuous at x = 5