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avatar+1671 

Find the domain of the function $f(x)=\frac{2x-7}{\sqrt{x^2}} - \sqrt{5x+6-11}$.

 Jan 11, 2024
 #1
avatar+288 
+1

Well we know that x can not equal 0, because then we would have a number that is undefined, so the domain of the function f(x) is 

 

( - inf , 0 ) U ( 0 , inf )

 

Answer: ( - inf , 0 ) U ( 0 , inf )

 Jan 11, 2024
 #2
avatar+128448 
+1

In the first function , x  cannot =  0

 

 

In the second function

5x + 6 -11 ≥  0

5x - 5 ≥  0

5x ≥ 5

x ≥ 1

 

So.......the most restrictive interval is the  second one

 

So the domain  is  [1, inf )

 

 

cool cool cool

 Jan 12, 2024

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