Assignment on Math 102 – 001

Math 102 – 001

Solution1.1:-
f (x) = 3x-1
g (x)= x2-2x
According to the property f-g= (f-g) x=f(x)-g(x)
(f-g) x= 3x-1 - (x2-2x)
(f-g) x= 3x-1 + (x2-2x)
(f-g) x=5x-1- x2 or
(f-g) x= - ( x2 - 5x+1)
1.2 Solution:-
According to the property (fog) x = f(g(x))
=f ((-2x))
=3(x2-2x)-1
=3 x2-6x-1
1.3 Solution:-
According to the property (gof) x = g(f(x))
=g(f(x)
=g(3x-1)
g(x)= x2-2x
= (3x-1)2 -2(3x-1)
= 9x2+1-6x-6x+2
= 9x3+3
1.4 Solution:-
=g (3x-1)
Put x=0 According to the g (f (0))
It becomes g(-1)
Now put -1 in g(x)