Identify the functions that are continuous on the set of real numbers and arrange them in ascending order of their limits as x tends to 5. Please look at the attached image.

g(x)<j(x)<k(x)<f(x)<m(x)<h(x)

Step-by-step explanation:

1.

The denominator of f is defined for all real values of x

Therefore, the function is continuous on the set of real numbers

3.

It cannot be factorize .

Therefore, it has no real values for which it is not defined .

Hence, function h is defined for all real values.

2.

The denominator of g is defined for all real values of x.

Therefore, the function g is continuous on the set of real numbers

4.

x-9=0

x=9

The function i is not defined for x=9

Therefore, the function i is  not continuous on the set of real numbers.

5.

The denominator of j is defined for all real values of x.

Therefore, the function j is continuous on the set of real numbers.

6.

It cannot be factorize .

Therefore, it has no real values for which it is not defined .

Hence, function k is defined for all real values.

7.

The function is not defined for x=8 and x=1

Hence, function l is not  defined for all real values.

8.

The denominator of m is defined for all real values of x.

Therefore, the function m is continuous on the set of real numbers.

g(x)<j(x)<k(x)<f(x)<m(x)<h(x)

how am i supposed to answer

step-by-step explanation: