Question

Let g(x)=x^(5) and F(x)=(1)/((x-3))
. Simplify or evaluate the function F(g(y))

Answer 1

To simplify or evaluate the function F(g(y)), substitute g(y) into F(x) and simplify: F(g(y)) = 1/(y^5-3).

Step-by-step explanation:

To simplify or evaluate the function F(g(y)), we need to substitute the expression g(y) into F(x) and simplify.

Given that g(x) = x^5 and F(x) = \frac{1}{x-3}, we can substitute g(y) into F(x) as follows:

F(g(y)) = \frac{1}{g(y)-3}.

Simplifying further gives:

F(g(y)) = \frac{1}{y^5-3}.