What are the domain and range of f of x is equal to the log of open paren x plus 6 close paren minus 4 ?

The logarithm is defined only when its argument is positive, so x + 6 > 0, which gives x > -6. A logarithmic function can take every real value, and subtracting 4 shifts its outputs without restricting them. Therefore the domain is x > -6 and the range is all real numbers, as stated in choice B.

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