Question

For F(x) = 2x + 1 and G(x) = x^2 - 7, what is (F.G)(x)

Answer 1

Step-by-step explaThe composition of two functions F(x) and G(x), denoted by (F.G)(x), is obtained by first evaluating the function F(x) for some argument x, and then plugging that result into the function G(x). In other words, (F.G)(x) = G(F(x)).

So, for the given functions F(x) = 2x + 1 and G(x) = x^2 - 7, we have:

(F.G)(x) = G(F(x)) = G(2x + 1) = (2x + 1)^2 - 7

So, the composition of F(x) and G(x) is (F.G)(x) = (2x + 1)^2 - 7nation: