SOLUTION: Write down in interval notation the domains of the function g(x)= {{{sqrt(x-7)}}}

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Question 142087: Write down in interval notation the domains of the function g(x)= sqrt%28x-7%29
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

sqrt%28x-7%29 Start with the given expression

Remember you cannot take the square root of a negative value. So that means the argument x-7 must be greater than or equal to zero (i.e. the argument must be positive)

x-7%3E=0 Set the inner expression greater than or equal to zero

x%3E=0%2B7Add 7 to both sides


x%3E=7 Combine like terms on the right side


So that means x must be greater than or equal to 7 in order for x to be in the domain



So the domain in interval notation is: [7,)