Which of the following functions are identical?
f(x) = x/x and ∅ (x) = 1
f(x) = logx2 and ∅ (x) = 2 log x
f(x) = 1 and ∅ (x) = sin2 x + cos2 x
f(x) = x and ∅(x) = (√x)2
The domain of the function f(x) = log |4 - x2| is
(-2, 2)
R - {2, -2}
{-2, 2}
The period of f(x) = sin 4x + tan 2x is
2π
π
π/2
None of these
f(a2)
f(a)
f(a+1)
The domain of sin-1 [log3(x/3)] is
[1, 9]
(-1, 9)
(-9, 1)
(-9, -1)
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
If f: R→ R, the range of the function f(x) = x2/x2+1, is
R-
R+
R x R
Let X = {2,3} and Y = {1,3,5}. How many different functions are there from X into Y?
3
9
16
7
If f(x) = x2 - 1/x2, f(x) =
-f(1/x)
f(1/x)
-f(x)
f(x2)
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
