SOLUTION: please assist me in finding the domain and range to the equation . . . {{{g(x)=2sqrt(x-1)+4}}}

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Question 697173: please assist me in finding the domain and range to the equation . . .

Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!
You can't take the square root of a negative value. So the radicand must be non-negative (ie 0 or positive)

Radicand is positive

x - 1 is positive

Domain: Set of all real x values such that

Domain in set-builder notation: $\large \{x|x\in \mathbb{R},x \ge 1\}$

Domain in interval notation: $[1,\infty)$

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The range of in general is the set of all y values such that where 'a' is some positive number.

Since k = 4, we know...

Range: Set of all real y values such that

Range in set-builder notation: $\large \{x|x\in \mathbb{R},x \ge 1\}$

Range in interval notation: $[4,\infty)$