A function `f(x)=sqrt(1-2x)+x` is defined from `D_1->D_2` and is onto lf the set `D_1` is its complete domain then the set `D_2` is

A function f(x)=sqrt(1-2x)+x is defined from D_(1rarr)D_(2) and is onto lf the set D_(1) is its complete domain then the set D_(2) is

Consider the function f(x)=sqrt(2-x)+sqrt(1+x) .If 'd' denotes the number of integers in the domain of f and r denotes the number of integers in the range of f , then (d+ r) is equal to

Consider the function f(x)=sqrt(2-x)+sqrt(1+x) . If d denotes the number of integers in the domain of f and ' r ' denotes the number of integers in the range of f , then (d+r) equals

The number of function that can be defined from the set A = { a,b,c,d} into the set B= {1,2,3} is equal to

Integrate the function sqrt(1-4 x-x^2) d x

If f_1(x) and f_2(x) are defined on domains D_1 and D_2 ,respectively, then f_1 (x) + f_2(x) is defined on D_1 nn D_2 .

If f_1(x) and f_2(x) are defined on domains D_1 and D_2 ,respectively, then f_1 (x) + f_2(x) is defined on D_1 nn D_2 .

Find whether f(x) is one- one or many-one & into or onto if f:D rarr R where D is its domain and f(x)=x+1/x.