If $f:R ightarrow R$ is given by $f(x) = \left\{ \begin{array}{r} - 1,\ when\ x\ is\ rational \ 1,\ when\ x\ is\ irrational \end{array}\ ight.\ ,$ Then $(fof)(1 - \sqrt{3})$ is equal to

Question

If $f:R ightarrow R$ is given by $f(x) = \left\{ \begin{array}{r} - 1,\ when\ x\ is\ rational \ 1,\ when\ x\ is\ irrational \end{array}\ ight.\ ,$ Then $(fof)(1 - \sqrt{3})$ is equal to

Dr. Abubacker · Accepted Answer

(b)
Given, $f(x) = \left\{ \begin{array}{r}
 - 1,\ when\ x\ is\ rational \
1,\ when\ x\ is\ irrational
\end{array} ight.\$
Now, $(fof)\left( 1 - \sqrt{3} ight) = f\left\lbrack f\left( 1 - \sqrt{3} ight) ightbrack = f(1) = - 1$

Q. If $f:R \rightarrow R$ is given by $f(x) = \left\{ \begin{array}{r} - 1,\ when\ x\ is\ rational \\ 1,\ when\ x\ is\ irrational \end{array}\ \right.\ ,$ Then $(fof)(1 - \sqrt{3})$ is equal to

Explanation

Reviewed by Dr. Abubacker

Want more practice?