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Verified Answer :

f(x) = 6x + 11
g(x) = x + 6
f[g(x)] = f(x + 6) = 6(x + 6) + 11 = 6x + 36 + 11 = 6x + 47
f[g(x)] = 6x + 47

Answer:

\(f(g(x))=6x+47\)

Step-by-step explanation:

we have

\(f(x)=6x+11\)

\(g(x)=x+6\)

we know that

\(f(g(x))=6[x+6]+11\)

\(f(g(x))=6x+36+11\)

\(f(g(x))=6x+47\)