Given $f ( x ) = 3 + \sqrt { x }$ , find a number c on the interval (1, 4) such that f(c) is the average value of f on [1, 4].

Name: Given $f ( x ) = 3 + \sqrt { x }$ , find a number c on the interval (1, 4) such that f(c) is the average value of f on [1, 4].
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The Answer of Given $f ( x ) = 3 + \sqrt { x }$ , find a number c on the interval (1, 4) such that f(c) is the average value of f on [1, 4].

Given f(x)=3+xf ( x ) = 3 + \sqrt { x }f(x)=3+x​

Given $f ( x ) = 3 + \sqrt { x }$