Let f : [- 6, 6] R be defined by f(x) = x2 - 3.
Consider the following :
I. (f o f o f)( - 1) = (f o f o f)(1)
2. (f o f o f)( - 1) - 4(f o f o f)(1) = (f o f)(0)
Which of the above is/are correct ?
1 only
2 only
both 1 and 2
neither 1 nor 2
Let f(x) = px + q and g(x) = mx + n. Then f(g(x)) = g(f(x)) is equivalent to
f(p) = g(m)
f(q) = g(n)
f(n) = g(q)
f(m) = g(p)
Let
Consider the following :
Which of the above is/are correct ?
1 only
2 only
both 1 and 2
beither 1 nor 2
If we define a relation R on the set N x N as (a, b) R(c, d) a + d = b + c for all (a, b), (c, d) N x N, then the relation is :
symmetric only
symmetric and transitive only
equivalence relation
reflexive only
C.
equivalence relation
A function is defined in (0, ) by :
Which one of the following is correct in respect of the derivative of the function, i.e., f'(x) ?
f'(x) = 2x for
f'(x) = - 2x for