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Which function has the same range as
f(x)= -2sqrt (x-3)+8


Sagot :

Answer:

Answer: : g(x)=-sqrt(x+3)+8

Step-by-step explanation:

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]

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