medium · GMAT Quant
Pewter Line (run 21) defines f by f(x)=x+1 if x≥ 0 and f(x)=x^2 if x<0, and g(x)=f(x)+f(-x) for all real x.
Which of the following is true?
- f is an even function
- g is an even function
- f is an odd function
- g(x)=x^2+x+1 for all x
- g(x)=x^2-x+1 for all x
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