ASAP!!!!!!! What is the range of the inverse of the given function? f(x) = \sqrt{x} -2 a) [2, ∞)

Question

ASAP!!!!!!!
What is the range of the inverse of the given function?

f(x) = \sqrt{x} -2

a) [2, ∞)
b) [-2, ∞)
c) (∞, 2]
d) (2, ∞]

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bonexptip 4 years 2021-07-19T11:52:33+00:00 1 Answers 8 views 0

Answers ( )

  1. taiduc
    0
    2021-07-19T11:54:26+00:00
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    Answer:

    [2 , ∞)  

    Step-by-step explanation:

    y = sqrt( x-2)

    The domain is the values that x can take

    Since we have a square root

    Domain: [2 , ∞)  since the square root must be greater than or equal to zero

    The range is the values that y can take

    The square root starts at 0 and increases

    Range [0,∞)

    The inverse swaps the domain and range

    Range: [2 , ∞)  

    Domain [0,∞)

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