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Algebra/Alegbra 1

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Question
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

Answer
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.

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Scott A Wilson

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I have solved story problems, linear equations, parabolic equations. I have also solved some 3rd order equations and equations with multiple variables.

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MS at math OSU in mathematics at OSU, 1986. BS at OSU in mathematical sciences (math, statistics, computer science), 1984.

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