If f of x is equal to x plus 7 and g of x is equal to the fraction with numerator 1 and denominator x minus 13 , what is the domain of open paren f circ g close paren times x ?

For (f ∘ g)(x), first evaluate g(x) = 1/(x − 13), which is undefined when x = 13. The function f(x) = x + 7 accepts every real input, so it adds no further restrictions; the domain is all real numbers except 13, choice B.

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