If the remainder when f(x) is divided by x-2 is 3what is the remainder when f(x+1) is divided by x-1?

The remainder is 3.this question is an application of both remainder theorem and transformations.assuming that f(x) is a polynomial function, the remainder theorem says that dividing a polynomial function f by a binomial x - a has a remainder of f(a). so if you substitute that "a" value for x, you will get the remainder.in x - 2, we have a = 2. so by the remainder theorem:     f(2) = 3when f(x+1) is divided by x - 1, the remainder of that we get by plugging in 1 for x in the function. this is because in x-1, a = 1. so by the remainder theorem:     f(1 + 1) = f(2)which we established before that f(2) = 3. therefore the remainder is 3.