Class - X Function

If  $f:\ A\ \rightarrow\ B\$ and  $\ g:\ B\ \rightarrow\ C$   are two functions, then how we denote the function from set A to C.  

• a)     fog                     

•  b)    fof  

• c)     gog 

•  d)      gof

Which range of the function f and g is equal to the range of function fog.

• f

• g

• Both f and g

• None of them

Which domain of the function f and g is equal to the domain of function gof.

• g

• f

• Both f and g

• None of them

If f(x) = m and g(x) = n then what is the value of fog(x)?

• mn

• m + n

• m

• n

• fog

• fof

• gof

• gog

If f = {(1, 2), (2, 4), (3, 6), (5, 7)} and g = {(2, 3), (4, 5), (6, 7), (7, 8)}, find the value of gof(1).

• 6

• 5

• 8

• 3

If f(x) = 2x + 3 and g(x) = 3 then what is the value of fog(x)?

• 5

• 9

• 8

• 5

If g = {(1, 2), (2, 4), (3, 6), (5, 7)} and f = {(2, 3), (4, 5), (6, 7), (7, 8)}, find the value of fog(3).

• 3

• 5

• 7

• 4

If f(x) = 2x + 3 and g(x) = x then what is the value of gof(1)?

• 2

• 6

• 5

• 3

If f = {(3, 6), (5, 7)} and g = {(6, 7), (7, 8)}, what is the ordered pair of gof.

• {(3, 6), (5, 7)}

• {(6, 7), (7, 8)},

• {(3, 7), (5, 8)}

• {(7, 3), (8, 5)}