Is the set of functions  \f$f_1(x)=e^{x+2}, f_2(x)=e^{x-3}\f$  linearly dependent or linearly independent on (−∞, ∞)? Discuss.

Functions will only be Linearly dependent when the meet these requirements:

  1. Within the functions intervals of , we will have multiple constants ‘c’. All of our constants can equal 0 but there must be at least one constant, c > 0. If the functions contains all zeros then it is linearly independent.