Functions Test ...

 Let f and g be the function from the set of integers to itself, defined by f(x) = 2x + 1 and g(x) = 3x + 4. Then the composition of f and g is ____________

A certain function always obeys the rule: If f (x.y) = f(x). f(y) where x and y are positive realnumbers. A certain Mr. Mogambo found that the value of f (128) = 4, then find the value of thevariable M = f (0.5). f (1). f (2). f (4). f (8). f (16). f (32). f (64). f (128). f (256)

If f(t) = 2^t, then f(0), f(1), f(2) are in

The graph of y = (x + 3)³ + 1 is the graph of y = x³ shifted

If f(x) = x² and g(x) = log_ex, then f(x) + g(x) will be

f(x) is any function and f^–1(x) is known as inverse of f(x), then f–1(x) of f(x) = e^x is

Which of the following functions will have a minimum value at x = –3?

Define the following functions:

f(x, y, z) = xy + yz + zx

g(x, y, z) = x²y + y²z + z²x and

h(x, y, z) = 3 xyz

Q.

Find the value of the following expressions:37. h[f(2, 3, 1), g(3, 4, 2), h(1/3, 1/3, 3)]

Define the following functions:
f(x, y, z) = xy + yz + zx
g(x, y, z) = x²y + y²z + z²x and
h(x, y, z) = 3 xyz
Find the value of the following expressions:

Q.

f[ f (1, 1, 1), g(1, 1, 1), h(1, 1, 1)]

If f(x) = 1/ g(x), then which of the following is correct?

If R(a/b) = Remainder when a is divided by b;
Q(a/b) = Quotient obtained when a is divided by b;
SQ(a) = Smallest integer just bigger than square root of a.

Q.

If a = 12, b = 5, then find the value of SQ[R {(a + b)/b}].

If R(a/b) = Remainder when a is divided by b;
Q(a/b) = Quotient obtained when a is divided by b;
SQ(a) = Smallest integer just bigger than square root of a.

Q.

If a =18, b = 2 and c = 7, then find the value of Q [{SQ(ab) + R(a/c)}/b].

Read the following passage and try to answer questions based on
them.
[x] = Greatest integer less than or equal to x
{x} = Smallest integer greater than or equal to x.

Q.

If x is not an integer, then ({x} + [x]) is

If f(t) = t² + 2 and g(t) = (1/t) + 2, then for t = 2, f [g(t)] – g[f(t)] = ?

Let F(x) be a function such that F(x) F(x + 1) = – F(x – 1)F(x–2)F(x–3)F(x–4) for all x ≥ 0.Given the values of If F (83) = 81 and F(77) = 9, then the value of F(81) equals to