Question

8. (02-1-59) Найдите f(g(2)). если f(x) = g(z) = f(x) = 1 И​

Answer 1

Ответ:

–15

Пошаговое объяснение:

Найдем значение $g(2)$:

$g(2) = \displaystyle\frac{1}{{{2^2}}} = \displaystyle\frac{1}{4}.$

Тогда

$f(g(2)) = f\left( {\displaystyle\frac{1}{4}} \right) = \displaystyle\frac{{{{\left( {\displaystyle\frac{1}{4}} \right)}^2} - 1}}{{{{\left( {\displaystyle\frac{1}{4}} \right)}^2}}} = \displaystyle\frac{{\displaystyle\frac{1}{{16}} - 1}}{{\displaystyle\frac{1}{{16}}}} = \displaystyle\frac{{ - \displaystyle\frac{{15}}{{16}}}}{{\displaystyle\frac{1}{{16}}}} = - 15.$