If f (x) = 1x1 + 9 and g (x) = - 6, which describes the value of (f + g) (x) ?

(f + g) (x) > 3 for all values of x

(f + g) (x) < 3 for all values of x

(f + g) (x) < 6 for all values of x

(f + g) (x) 6 for all values of x

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The answers are " (f+g) (x) > 3 for all values of x" and " (f+g) (x) <6 for all values of x".

Step-by-step explanation:

If f (x) = 1x1 + 9 = 10, then f (x) is a constant for every value of x, which means that y=f (x) will take the value of 10 no matter which value takes x. If g (x) = - 6, then g (x) is a constant for every value of x, which means that it will take the value of - 6 no matter the value of x. (f+g) (x) = 10 + (-6) = 10 - 6 = 4. Then, no matter the value of x, the function (f+g) (x) will equal 4 (a constant). According to the available options, both " (f+g) (x) >3" and " (f+g) (x) 3 and (f+g) (x) = 4 <6.