If \(f(x)=x^2+1\) and \(g(x)=x-1\), what is \((f\circ g)(3)\)?

Correct answer: 5

Step 1: For a composition evaluate the inner function first: \((f\circ g)(3)=f(g(3))\). Step 2: \(g(3)=3-1=2\). Step 3: \(f(2)=2^2+1=4+1=5\). Thus the correct value is 5. The option 4 is a common mistake if you forget the "+1" in \(f(x)\); other wrong choices arise from similar arithmetic slip-ups. Exam tip: always compute the inner function value first, then substitute into the outer function.