Toda função bijetora f colon space A rightwards arrow B admite uma função inversa f to the power of negative 1 end exponent colon B rightwards arr...

Toda função bijetora f colon space A rightwards arrow B admite uma função inversa f to the power of negative 1 end exponent colon B rightwards arrow A. Os pares ordenados que compõem a relação da função f to the power of negative 1 end exponent podem ser obtidos dos pares ordenados da relação que determina f, permutando-se os elementos de cada par, ou seja, left parenthesis x comma y right parenthesis element of f left right double arrow left parenthesis y comma x right parenthesis element of f to the power of negative 1 end exponent. A função inversa de space f left parenthesis x right parenthesis equals 2 x minus 1 é dada por: a. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals begin inline style fraction numerator 1 plus x over denominator 2 end fraction end style b. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals begin inline style fraction numerator x minus 2 over denominator 2 end fraction end style c. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals begin inline style fraction numerator x minus 1 over denominator 2 end fraction end style d. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals begin inline style fraction numerator x plus 2 over denominator 2 end fraction end style e. f to the power of negative 1 end exponent left parenthesis x right parenthesis equals begin inline style fraction numerator 1 minus x over denominator 2 end fraction end style