If f of x is equal to absolute value of x plus 9 and g of x is equal to negative 6 , which describes the range of open paren f plus g close paren of x ?

Add the functions: (f + g)(x) = |x| + 9 - 6 = |x| + 3. Since |x| is always at least 0, (f + g)(x) is always at least 3, with a minimum of 3 when x = 0. Therefore, choice C is correct: (f + g)(x) is greater than or equal to 3 for all values of x.

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