Suppose a function f(x) has domain (-\infty,\infty) and range [-11,3]. If we define a new function g(x) by g(x) = f(6x)+1, then what is the range of g(x)? Express your answer in interval notation.
\(f(6x) \text{ has the same range as }f(x)\\ f(6x)+1 \text{ shifts the range of }f(x) \text{ 1 unit in the positive direction }\\ \text{so that the range of }g(x) = f(6x)+1 \text{ is } [-10,4]\)
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