Two functions f: R \to R, g: R \to R are defined as follows f(x)={\\begin{array}{ccc}0 & & x \\\\text{ is rational }\\ \ 1 & & x \\\\text{ is irrational }\\\\end{array}. g(x)={\\begin{array}{ccc}-1 & & x \\\\text{ is rational }\\ \ 0 & & x \\\\text{ is irrational }\\\\end{array}. Then, (fog) (\pi) +(gof) (e) is equal to

EAMCET Engineering 2001 Solved Paper

Section: Mathematics

Question : 164 of 200

Marks: +1, -0

Two functions f:R→R,g:R→R are defined as follows
f(x)={

0	‌	x‌ is rational ‌
1	‌	x‌ is irrational ‌

.
g(x)={

−1	‌	x‌ is rational ‌
0	‌	x‌ is irrational ‌

.
Then, (fog)(π)+(gof)(e) is equal to

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