Question

For the function f defined by f(x)=x^2+2x+3 find f(−x),−f(x) , and −f(−x).

Also, For the function g defined by g(x)= 55/x +3x find g(−x),−g(x), and −g(−x).

Help!

Answer 1

f(−x)=(-x)^2+2(-x)+3=x^2-2x+3
−f(x)=-(x^2+2x+3)=-x^2-2x-3
−f(−x)=-(x^2-2x+3)= -x^2+2x-3

g(−x)=55/(-x) +3x =-55/x +3x
−g(x)=-(55/x +3x )= - 55/x -3x
−g(−x)=-(-55/x +3x )=55/x -3x