The functions f(x) and g(x) are defined below.Which expression is equal to f(x) + g(x)?

Answer:none of the aboveStep-by-step explanation:This question wants you to see that the radical can be simplified because it is ...[tex]f(x)=\sqrt{(x+6)^2}[/tex]The answer choices show you are expected to simplify this to ...... f(x) = x +6Then... f(x)·g(x) = (x+6)(x³ -12) = x⁴ +6x³ -12x -72 . . . . . matches choice C_____However,... f(x) = |x+6| . . . . . . . √(x^2) = |x|, the positive root regardless of sign of xso the product f(x)·g(x) only matches selection C for x≥ -6. It matches the opposite of selection C for x ≤ -6.The attached graph shows this. It graphs f(x), g(x), f(x)·g(x) (as a purple curve), and selection C (as orange dots).