Given:

ƒ(x) =

Let’s calculate the limit of f(x) when x approaches 0 from the right

7(0) + 5

= 5

Therefore,

5

Let’s calculate the limit of f(x) when x approaches 0 from the left

5 – 3(0)

= 5

Therefore,

5

Also, f(0) = 5

As we can see,

f(0) = 5

Thus, we can say that f(x) is continuous function.