Expression 1: "k" left parenthesis, "x" , right parenthesis equals 1 half left parenthesis, 1 minus StartFraction, 1 Over ln left parenthesis, StartNestedFraction, "x" NestedOver 2 , EndNestedFraction left parenthesis, 1 minus sgn left parenthesis, sin "x" , right parenthesis , right parenthesis , right parenthesis , EndFraction , right parenthesis left parenthesis, 1 minus sgn left parenthesis, sin left parenthesis, "x" , right parenthesis , right parenthesis , right parenthesiskx=121−1lnx21−sgnsinx1−sgnsinx
1
Expression 2: "f" left parenthesis, "x" , right parenthesis equals left parenthesis, StartFraction, sgn left parenthesis, sin left parenthesis, "x" , right parenthesis , right parenthesis plus 1 Over 2 , EndFraction StartAbsoluteValue, "x" , EndAbsoluteValue plus 1 minus "k" left parenthesis, StartAbsoluteValue, "x" , EndAbsoluteValue , right parenthesis , right parenthesis sine "x"fx=sgnsinx+12x+1−kxsinx