Let X = {2,3} and Y = {1,3,5}. How many different functions are there from X into Y?
3
9
16
7
The two linear functions which map [-1, 1] on [0,2] are
y = x + 1, y = 1 - x
y = x - 1, -1 - x
y = x, y = -x
y = 1 + 1/x
The domain of sin-1 [log3(x/3)] is
[1, 9]
(-1, 9)
(-9, 1)
(-9, -1)
If f: R→ R, the range of the function f(x) = x2/x2+1, is
R-
R+
R x R
The inverse function of logex is
10x
10-x
ex
e-x
The inverse function of f(x) = [1 - (x - 5)3]1/5 is
5 + (1 - x5)1/3
5 - (1 - x2)1/3
-5 + (1 - x5)1/3
None of these
If f1(x) and f2 (x) are defined on domain D1 and D2, then the domain of f1(x) + f2 (x) is
D1 ∪ D2
D1 ∩ D2
D1 - D2
D2 - D1
If f(x) = x2 - 1/x2, f(x) =
-f(1/x)
f(1/x)
-f(x)
f(x2)
The domain of the function f(x) = log |4 - x2| is
(-2, 2)
R - {2, -2}
{-2, 2}
Cot θ
- Cot θ
-tan θ
- sin θ
