OG详解-OG7 数学2 Q7

The correct answer is114​​. It’s given that the function f is defined by f(x)=5(14​−x)²+11​4​. Substituting  for x in this equation yields f(​14​)=5(14​−1​4​)²+114​ , which is equivalent f(​14​)  = 5(0)²+114​, or f(1​4​)=11​4. Therefore, the value of f(​14​) is 114. Note that 11/4 or 2.75 are examples of ways to enter a correct answer.