The distance S (in kms) travelled by a particle in time ‘t’ hours is given by S(t) = \(\frac { { t }^{ 2 }+t }{ 2 } \). Find the distance travelled by the particle after
(i) three and half hours.
(ii) eight hours and fifteen minutes.

Let f = {(2, 7); (3, 4), (7, 9), (-1, 6), (0, 2), (5,3)} be a function from A = {-1,0, 2, 3, 5, 7} to B = {2, 3, 4, 6, 7, 9}. Is this
(i) an one-one function
(ii) an onto function,
(iii) both oneone and onto function?

A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

find 2f(-4) + 3f(2)

A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

f(-7) - f(-3)

A functionf: [-7,6) \(\rightarrow\) R is defined as follows.

\(\cfrac { 4f(-3)+2f(4) }{ f(-6)-3f(1) } \)

f(x) = (1+ x)
g(x) = (2x - 1)
Show that fo(g(x)) = gof(x)

Let A = {1, 2, 3, 4, 5}, B = N and f: A \(\rightarrow\)B be defined by f(x) = x². Find the range of f. Identify the type of function.

A functionf: (1,6) \(\rightarrow\)R is defined as follows:

Find the value of f(5),

A functionf: (1,6) \(\rightarrow\)R is defined as follows:

Find the value of f(3),

A functionf: (1,6) \(\rightarrow\)R is defined as follows:

Find the value of f(2) - f( 4).

The following table represents a function from A = {5, 6, 8, 10} to B = {19, 15, 9, 11}, where f(x) = 2x - 1. Find the values of a and b.

x	5	6	8	10
f(x)	a	11	b	19

If R = {(a, -2), (-5, b), (8, c), (d, -1)} represents the identity function, find the values of a, b, c and 

Find f o g and g and g o f when f(x) = 2x + 1 and g(x) = x² - 2

If A = {1,2,3), B = {3,4} and C = {4, 5, 6},then find \((A \times B) \cup(A \times C)\)

If A = {1,2,3,4}, B = {2,4,5} , C = {2, 5} find (A - B) x (B - C)