Final answer:
To find (b°c)(x), substitute c(x) = x^5 into b(x) = 5x to get 5x^5, which is the polynomial in simplest form.
Step-by-step explanation:
The question asks us to find (b°c)(x), which means we are composing two functions, b(x) and c(x), and then evaluating this composition at x. The given functions are b(x) = 5x and c(x) = x^5. To compose these functions, we substitute the function c(x) into b(x), resulting in b(c(x)) = b(x^5).
Substituting, we get b(c(x)) = 5 * (x^5). This simplifies to 5x^5, which is a polynomial in its simplest form.
Therefore, (b°c)(x) = 5x^5.