hard · GMAT Quant
Quarry Labs (lot 53) defines f piecewise by f(x)=x+3 for x≥ 0 and f(x)=x^2 for x<0, and g(x)=f(x)+f(-x).
Which of the following MUST be true?
- g is even and g(x)=x^2+|x|+3 for all real x
- g(x)=x^2-x+3 for all real x in this system.
- g(x)=x^2+x+3 for all real x in this system.
- g is odd in this system in this system in this system.
- f is even in this system in this system.
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