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Functions and Graphs, SMB-014

What is the domain of the function  `g(x) = log_2(x^2-3)`?  (2 marks)

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`text{Domain:}\ x>sqrt3\ \ ∪\ \ x<-sqrt3`

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`g(x)\ text{exists when:}`

`x^2-3` `> 0`
`x^2` `> 3`

 
`x>sqrt3\ \ or\ \ x<-sqrt3`

`:.\ text{Domain:}\ x>sqrt3\ \ ∪\ \ x<-sqrt3`

Filed Under: Functions and Other Graphs Tagged With: num-title-ct-patha, smc-4244-10-Domain, smc-4244-75-Logarithm

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