Answer:
The given functions are not same because the domain of both functions are different.
Step-by-step explanation:
The given functions are


First find the domain of both functions. Radicand can not be negative.
Domain of f(x):

This is possible if both numerator or denominator are either positive or negative.
Case 1: Both numerator or denominator are positive.


So, the function is defined for x≥1.
Case 2: Both numerator or denominator are negative.


So, the function is defined for x≤-1.
From case 1 and 2 the domain of the function f(x) is (-∞,-1]∪[1,∞).
Domain of g(x):


So, the function is defined for x≥1.
So, domain of g(x) is [1,∞).
Therefore, the given functions are not same because the domain of both functions are different.