Chapter 8.1, Problem 5E

For each function in Exercises 5-8, evaluate

(a) $g\left(0,0,0\right)$;

(b) $g\left(1,0,0\right)$;

(c) $g\left(0,1,0\right)$;

(d) $g\left(z,x,y\right)$; and

(e) $g\left(x+h,y+k,z+l\right)$; provided that such a value exists.

$g\left(x,y,z\right)=e^{x+y+z}$