Expression 3: "s" left parenthesis, "x" , right parenthesis equals StartFraction, 1 Over 1 plus "e" Superscript, left parenthesis, StartNestedFraction, 8 "a" NestedOver "b" , EndNestedFraction , right parenthesis cot left parenthesis, pi "x" Superscript, negative StartNestedFraction, ln left parenthesis, 2 , right parenthesis NestedOver ln left parenthesis, "b" , right parenthesis plus 0.1 , EndNestedFraction , Baseline , right parenthesis , Baseline , EndFraction left brace, 0 less than or equal to "x" less than or equal to 1 , right bracesx=11+e8abcotπx−ln2lnb+0.10≤x≤1
3
Expression 4: "f" left parenthesis, "x" , right parenthesis equals "s" left parenthesis, "x" , right parenthesis StartFraction, left parenthesis, "b" "x" , right parenthesis Superscript, "a" , Baseline minus "b" Superscript, "a" , Baseline Over left parenthesis, "b" "x" , right parenthesis Superscript, "a" , Baseline minus 1.1 "x" Superscript, "a" , Baseline , EndFraction plus left parenthesis, 1 minus "s" left parenthesis, "x" , right parenthesis , right parenthesis left parenthesis, 1 minus StartFraction, "x" squared Over 2 , EndFraction , right parenthesisfx=sxbxa−babxa−1.1xa+1−sx1−x22