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The newly translated function of f(x) = 7x + 1 is; g(x) = 7(x - 1) + 1How to carry out Translation of Functions?In transformation of functions, there are different operations such as translation, reflection, dilation, rotation.Now, we are told that the function is given as;f ( x ) = 7x + 1We are told that it is translated by 5 units to the right.It is pertinent to note that when talking about translation, it is as good as saying moving from one point to the other without changing the dimensions or shape.Now, when we shift a function f(x) = x - 1 by a units to the left, it means the translated function is; f'(x) = (x + 1) - 1However, when we shift a function f(x) = x - 1 by a units to the right, it means the translated function is; f'(x) = (x - 1) - 1Now, applying that translation rule to our given function gives;g(x) = 7(x - 1) + 1Read more about Function Translations at; https://brainly.com/question/26238840#SPJ1