Questions on Functions & Relations

Q1) If R = {(a, a^3):a is a prime number less than 5} be a relation. Find the the range of R.

Q2) If CodeCogsEqn%20(5) and CodeCogsEqn%20(6) given by f = {(1,2), (2,3), (4,1)} and g = {(1,3), (2,3), (5,1)}. Write down gof.

Q3) If R = {(x,y):x+2y=8} is a relation on N, then write the range of R.

Q4) If A={1,2,3} and B={4,5,6,7} and f={(1,4), (2,5), (3,6)} is a function from A to B. State whether f is one-one or not.

Q5) If f: R to R is defined by f(x) = 3x+2, then define f[f(x)].

@Raj2006 @sevanth_gajula try solving these.