Suppose that hx f composition gx Complete the following tab

Suppose that h(x) = (f composition g)(x). Complete the following table

Solution

h(x)=(fog)(x)

at x=1

fog(1)= f(g(1))

And g(1)=0

Therefore (fog)(1)= f(g(0))= f(1)=1

therefore h(1)= fog(1)=1

at x=2

h(2)= fog(2)= f(g(2))

and g(2)=1

f(g(2))= f(1)= 9

therefore h(2)= fog(2)= 9

and it is given that h(0)=9

h(0)= f(g(0))=5

and g(0)=2

Therefore f(g(0))=5

f(2)=9

x	f(x)	g(x)	h(x)
0	1	2	5
1	9	0	1
2	5	1	9