If f(x)=x^2+5x+6 and g(x)=3x+1, what is the domain of f(x)/g(x)?

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`f(x)=x^2+5x+6`

`g(x)=3x+1`

 

`(f(x))/(g(x)) = (x^2+5x+6)/(3x+1)`


This function `(f(x))/(g(x))` will be undefinable when `(3x+1)=0` OR `x = -1/3` .


For every other x there is no problem with `(f(x))/(g(x))` .

 

So the domain of `(f(x))/(g(x))` is;

`x in R-[-1/3]`

 

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