Verified Answer :

konrad509

\(g(f(3))=(5\cdot3-4)^2+3(5\cdot3-4)-8=121+3\cdot11-8=146\)

\(f\left( x \right) =\quad 5x-4\\ g\left( x \right) =\quad { x }^{ 2 }+3x-8\\ g\left( f\left( x \right) \right)\) 
for x=3

\(f(3)=\quad 5\cdot 3-4\\ f(3)=15-4\\ f(3)=11\\ g(f(3))=g(11)\\ g(11)=\quad { 11 }^{ 2 }+3\cdot 11-8\\ g(11)=\quad 121+33-8\\ g(11)=146\)

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