# SOLUTION: Give the domain for g(x) = &#8730;(x-4)^2-1. Explain/show your reasoning. (The whole (x-4)^2-1 part is "under" the squareroot symbol)

Algebra ->  Algebra  -> Functions -> SOLUTION: Give the domain for g(x) = &#8730;(x-4)^2-1. Explain/show your reasoning. (The whole (x-4)^2-1 part is "under" the squareroot symbol)      Log On

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Question 633931: Give the domain for g(x) = √(x-4)^2-1. Explain/show your reasoning. (The whole (x-4)^2-1 part is "under" the squareroot symbol)Answer by lwsshak3(6527)   (Show Source): You can put this solution on YOUR website!Give the domain for g(x) = √(x-4)^2-1. Explain/show your reasoning. (The whole (x-4)^2-1 part is "under" the squareroot symbol) ** The rule that applies here is that a radican≥0 (what is under the square root symbol) (x-4)^2-1≥0 this is a difference of 2 squares (x-4+1(x-4-1)≥0 (x-3)(x-5)≤0 number line <....+....3.....-......5....+......> Domain: (-∞,3] U [5,∞)