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If $h(x)$ is a function whose domain is $[-8,8]$, and $g(x)=h\left(\frac x2\right)$, then the domain of $g(x)$ is an interval of what width?

 Feb 5, 2021
 #1
avatar+128079 
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The   x/2   means   that   the  domain  of g (x)  is  twice as wide as that of h(x)  [ it  horizontally "stretches" the domain of  h(x)  by a factor of 2]

 

So

 

[ -16, 16 ]    = domain of  g (x)

 

 

cool cool cool

 Feb 5, 2021

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