Which function has the same range as

the first photo is the function everything after are the options
answer fast im timed

The range of the function in the first photo is
x-3>=0
sqrt(x-3)>=sqrt(0)
sqrt(x-3)>=0
Multiplying the equation by -2:
-2[ sqrt(x-3)>=0]
-2 sqrt(x-3)<=0
Adding 8 both sides of the equation:
-2 sqrt(x-3)+8<=0+8
-2 sqrt(x-3)+8<=8
f(x)<=8
Then Range f(x)= (-Infinite, 8]

The function has the same range is the third one:
g(x)=-sqrt(x+3)+8

The range of this function is:
x+3>=0
sqrt(x+3)>=sqrt(0)
sqrt(x+3)>=0
Multiplying the equation by -1:
-1[ sqrt(x+3)>=0]
- sqrt(x+3)<=0
Adding 8 both sides of the equation:
- sqrt(x+3)+8<=0+8
- sqrt(x+3)+8<=8
g(x)<=8
Then Range g(x)= (-Infinite, 8]

Third option: g(x)=-sqrt(x+3)+8

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