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For the Given Functions F and G, Find the Requested f(x)=16−x2;g(x)=4−xf ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x

Question 91

Multiple Choice

For the given functions f and g, find the requested function and state its domain.
- f(x) =16−x2;g(x) =4−xf ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x
Find f+gf + g .


A) (f+g) (x) =x3−4x2−16x+64( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64 ; all real numbers
B) (f+g) (x) =−x2−x+20;{x∣x≠4,x≠−5}( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; \{ x \mid x \neq 4 , x \neq - 5 \}
C) (f+g) (x) =4+x;{x∣x≠−4}( f + g ) ( x ) = 4 + x ; \{ x \mid x \neq - 4 \}
D) (f+g) (x) =−x2+x+12( f + g ) ( x ) = - x ^ { 2 } + x + 12 ; all real numbers

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