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Two functions f and g are defined on the set of real numbers...

Two functions f and g are defined on the set of real numbers by f:xx2+1 and g:xx2. Find f o g

A.

x2+4x5

B.

x24x+5

C.

x21

D.

x1

Correct answer is B

f(x)=x2+1  and  g(x)=x2

fog=f(g(x))=f(x2)=(x2)2+1

= x24x+4+1=x24x+5