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What is the domain of g(x) = square root of x  +1

 Feb 3, 2016
 #1
avatar+8581 
+5

f(x) is x +1 >= 0  {nl} {nl} x + 1 >= 0  {nl} x >= -1  {nl} {nl} for g(x), you cannot divide a number by zero. So, you set the denominator equal to zero and solve:  {nl} x - 1 = 0  {nl} x != 1 (x is not equal to 1)

 Feb 3, 2016
edited by Hayley1  Feb 3, 2016
 #2
avatar+8581 
0

I think that's right? If not, I'm sorry!!

 Feb 3, 2016
 #3
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so would it be...

 

**all real numbers greater than or equal to 1

**all real numbers greater than or equal to 0

**all real numbers greater than 0

**all real numbers

 Feb 3, 2016
 #4
avatar+8581 
0

It would be the First one, then.

 Feb 3, 2016
 #5
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The DOMAIN is the all of the values of x for which the function is valid    

so as long as  x+1  is positive (or zero) it is in the domain

x+1 >= 0

x>= -1     is the domain     (from -1 to +infinity)

 Feb 3, 2016
edited by Guest  Feb 3, 2016
 #6
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So it would be all real numbers?

 Feb 3, 2016
 #7
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NO.....real numbers include irrational numbers.     x >= -1 is the domain

 Feb 3, 2016

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