If f of x is equal to the fraction with numerator x minus 3 and denominator x and g of x is equal to 5 x minus 4 , what is the domain of open paren f circ g close paren times x ?

For the composition, substitute g(x) = 5x − 4 into f(x) = (x − 3)/x. The denominator of f(g(x)) is therefore 5x − 4, which must not equal zero. Solving 5x − 4 = 0 gives x = 4/5, so the domain excludes 4/5; the correct choice is “x such that x is not equal to 4/5.”

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