ASAP!!!!!!! What is the range of the inverse of the given function? f(x) = √(x) -2 a) [2, ∞) b) [-2, ∞) c) (∞, 2] d) (2, ∞]

Question

ASAP!!!!!!!

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


`f(x) = √(x) -2`

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

Answer 1

Answer: it’s A on here but check which is A on your test

Explanation:

Answer 2

[2 , ∞)

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,∞)