Let be the function g(x)= cases e^ x +x, & x 0

MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation

Problem

Let

g

be the function

g(x)= \begin{cases} e^{x}+x, & x\le 0,\\ x^{2}+1, & x>0. \end{cases}

Find the

x

-coordinate of the global minimum of

g

on the real line.