Let f and g be the two functions from R to R defined by f(x)= 3x-4 and g(x) = x³+ 3.Find gof and fog
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Given, f:R→R,f(x)=3x+4
g:R→R,g(x)=3x−4
∴(fog)(x)=f[g(x)]
=f(3x−4)
=3(3x−4)+4
=x−4+4=x
(gof)(x)=g[f(x)]=g(3x+4)
=33x+4−4=33x=x
Noe (gof)(x)=g[g(x)]
gog(1)=g[g(1)]
=g(31−4)=g(−1)
=3−1−4=3−5
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