Question

If g(x) is an odd function, which function must be an even function?
f(x) = g(x) + 2
f(x) = g(x) + g(x)
f(x) = g(x)2
f(x) = –g(x)

Answer 1

For a function to be odd
f(-x)=-f(x)
so g(x) is an odd function means
g(-x)=-g(x)

Answer 2

\[f(x)=[g(x)^{2}]\] must be even function