How do you find the domain and range of sqrt1-sqrtx+7 √1−√x+7?

1 Answer
Binayaka C.
Jun 30, 2017

Domain: x >= 0x≥0. In interval notation : [0,oo)[0,∞)
Range: y <=8y≤8 In interval notation : (-oo,8](−∞,8]

Explanation:

y= sqrt(1) - sqrt(x) +7 or y= 8-sqrt(x)y=√1−√x+7ory=8−√x

Domain: Under root should be >=0 :. x>= 0 ,

Domain: x >= 0. In interval notation : [0,oo)

Range: Max y=8 , Minimum: y = -oo

Range: y <=8 In interval notation : (-oo,8]

graph{8-x^0.5 [-160, 160, -80, 80]}

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