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  • If f(x)=(ax+b) ; and g(x)=(cx+d), then (fog)(x)-(gof)(x) equals

If f(x)=(ax+b) ; and g(x)=(cx+d), then (fog)(x)-(gof)(x) equals

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Solution:  We have ,

                     f(x)=ax+b  and   g(x)=cx+d

               Rightarrow    (fog)(x)=f[g(x)]=a[g(x)]+b=acx+ad+b

               Rightarrow     (gof)(x)=g[f(x)]=c[f(x)]+d=acx+bc+d

              herefore           (fog)(x)-(gof)(x)=(ad+b)-(bc+d)=f(d)-g(b)

Posted by

Deependra Verma

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