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Decsribe the transformation from the parent function and state the domain and range.

1. g(x)= square root of x then -1..please note the square root only over the x

2. y= square root over x+1

Using sqrt() to take the square root, the two problems appear to be

1. g(x) = sqrt(x)(-1) = -sqrt(x).

The domain is all non-negative x.

The range is all non-positive numbers.

2. y = sqrt[1/(x+1)].

The denominator can't be zero and has to be positive.

This makes the domain is all x > -1.

Since the resulting fraction is all positive numbers,

and the square-root of a positive number is a positive number,

the range is the same.

Algebra

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