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

Question 79

Multiple Choice

For the given functions f and g, find the requested function and state its domain. Write the domain in interval notation.
- f(x) =16x2;g(x) =4x;f ( x ) = 16 - x ^ { 2 } ; g ( x ) = 4 - x ; \quad Find f+gf + g


A) (f+g) (x) =x2x+20;(,) ( f + g ) ( x ) = - x ^ { 2 } - x + 20 ; ( \infty , \infty )
B) (f+g) (x) =x34x216x+64;(,) ( f + g ) ( x ) = x ^ { 3 } - 4 x ^ { 2 } - 16 x + 64 ; ( \infty , \infty )
C) (f+g) (x) =4+x;(,4) (4,) ( f + g ) ( x ) = 4 + x ; ( \infty , - 4 ) \cup ( - 4 , \infty )
D) (f+g) (x) =x2+x+12;(,) ( f + g ) ( x ) = - x ^ { 2 } + x + 12 ; ( \infty , \infty )

Correct Answer:

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