function [res] = chap_5_prob_2_original_fns(x)
%
% problem on epage 167
% computes the raw functions f_1 and f_2 on epage 117 (no normilization and no blending)
% 
% Inputs: 
%   x in N_pop x N_vars of scaled input variables 
% 
% Written by:
% -- 
% John L. Weatherwax                2006-08-28
% 
% email: wax@alum.mit.edu
% 
% Please send comments and especially bug reports to the
% above email address.
% 
%-----

[N_pop,N_var] = size(x);

x1 = x(:,1); 
x2 = x(:,2); 
x3 = x(:,3); 
x4 = x(:,4); 

% compute each of the subfunctions f_n: 
% 
f_1 = x1 + x2.^2 + x3 + sqrt(x4);
f_2 = 1./x1 + 1./(x2.^2) + sqrt(x3) + 1./x4;

res = [ f_1, f_2 ];