If \(f(x)=x+2\) and \(g(x)=3x\), what is \((f\circ g)(2)\)?

Correct answer: 8

By definition of composition, \((f\circ g)(2)=f(g(2))\). Evaluate the inner function first: \(g(2)=3\cdot2=6\). Then apply \(f\) to that result: \(f(6)=6+2=8\). Hence the correct value is 8. Common mistake: some students stop at \(g(2)=6\) and choose 6, forgetting to apply \(f\); that is incorrect. Exam tip: Always write \((f\circ g)(x)=f(g(x))\) and compute the inner function before the outer one.