If (f(x)=x+1), (g(x)=2x) and (h(x)=x^2) then what is the value of ((f+g)h) at (x=2)?

Correct answer: (28)

The direct answer is option A, 28. The notation \((f+g)h\) means the product of the sum function \(f+g\) and the function h. First evaluate at 2: \(f(2)=2+1=3\), \(g(2)=2(2)=4\), and \(h(2)=2^2=4\). Then \((f+g)(2)=3+4=7\), and \(((f+g)h)(2)=7\times4=28\). Option A is correct. Option B, 20, may come from an incorrect multiplication or addition. Option C, 16, is only \(h(2)^2\) or another unrelated operation, not the required product. Option D, 12, is \(f(2)h(2)\) and forgets g. The safest method is evaluate each function first, add f and g, then multiply by h.