Let f, g : R → R be defined by f(x) = 2x + 1 and g(x) = x2 – 2 for all x ϵ R, respectively. Then, find gof.

Formula:-


(i)Let f : AB and g : BC be two functions.


Then, the composition of f and g, denoted by g o f, is defined as the function g o f : AC


given by g o f (x) = g (f (x))


Given:-


(i)f, g : R → R


(ii)f(x) = 2x + 1


(ii)g(x) = x2 – 2 for all x ϵ R


gof(x)=g(f(x))


gof(x)=g(2x+1)


gof(x)=(2x+1)2-2


gof(x)=4x2+4x-1


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