If $f$ Is an Odd Function And $g$ Is an Even Function, Determine Whether the Following Functions Are

Short Answer

If $f$ is an odd function and $g$ is an even function, determine whether the following functions are odd, even or neither.
a. $( f ( x ) ) ^ { 2 } + ( g ( x ) ) ^ { 3 }$
b. $5 + g ( x )$
c. $f \left( x ^ { 3 } \right)$
d. $f ( g ( x ) )$