Q37,Paper2,D13. Let f and g be the functions from the set of integers to the set integers defined by f(x) = 2x+ 3 and g(x) = 3x+ 2 Then the composition of f and g and g and f is given as

Let f and g be the functions from the

set of integers to the set integers

defined by f(x) = 2x+ 3 and g(x) = 3x+ 2

Then the composition of f and g and

g and f is given as

(A) 6x+ 7, 6x+ 11

(B) 6x+ 11, 6x+ 7

(C) 5x+ 5, 5x+ 5.

(D) None of the above

Answer A.

Explanation.

Fog=2(3x+2)+3.= 6x+7.

Gof=3(2x+3)+2.=6x+11.