A continuous function has average value on the interval

MATHEMATICS · Single correct · AP · Calculus AB · Applications of Integration · Applications of Integration

Problem

A continuous function ff has average value 55 on the interval [0,6][0,6]. Determine the average value of g(x)=3f(2x)+1g(x)=3f(2x)+1 on [0,3][0,3]. (a) 1515 (b) 1616 (c) 463\dfrac{46}{3} (d) 1818

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