If f of x is equal to x squared minus 2 and g of x is equal to x minus 3 , what is open paren f circ g close paren times x ?

The composition (f ∘ g)(x) means f(g(x)), so substitute g(x) = x − 3 into f(x) = x² − 2. This gives (x − 3)² − 2 = x² − 6x + 9 − 2 = x² − 6x + 7. Therefore, choice C, x² − 6x + 7, is correct.

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