Let `X={3, 4, 6, 8}. Determine whether the relation `R={x, f(x)|xinX, f(x)=x^(2)+1}` is the function from X to N?

Let x= {3,4,6,8}. Determine whether the relation R ={(x,f(x) )|x in X , f (x) =x^(3) +1} is a function from X to N ?

Let X={1,2,3,4} . Determine whether or not each relation is a function from X into X. f={(2,3),(1,4),(2,1),(3,2),(4,4)}

Determine whether the following function f R rarr R are onto : f(x)=x^3 .

Determine whether the following function f R rarr R are onto : f(x)=x+1 .

Determine whether the following function f R rarr R are onto : f(x)=1 , if x is rational.

Determine whether the following function f R rarr R are onto : f(x)=|x|+x .

Determine whether the following function f R rarr R are onto : f(x)=-1 , if x is irrational.

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (fog)(3)

Determine whether the following functions are onto or not : f : N rarr N, f(x)=4x

Let f(x)={(4x-5,xge2),(1-x,x 3):} be two functions from R to R. Find (gof)(1)