Question

Which of the following is the correct composition of functions, (g \circ g)(x) ( g ∘ g ) ( x )?

a) x^4+2x^2+3 (x^4 + 2x^2 + 3)
b) x^2+1 (x^2 + 1)
c) x^4+2x^2+2 (x^4 + 2x^2 + 2)
d) 4x^2+10 (4x^2 + 10)

Answer 1

Without the explicit form of the function g(x), it's not possible to determine the composition (g \circ g)(x). However, the process generally involves using the output of g(x) as the input to another instance of g(x). symbolically, (f \circ g)(x) = f(g(x)).

Step-by-step explanation:

The question asks to find the correct composition of functions, specifically (g \circ g)(x). To solve this, we would need the explicit form of the function g(x). However, since the function g(x) is not given in the question, we cannot accurately determine the composition (g \circ g)(x). Nevertheless, we can discuss the general process of composing functions. Given two functions, f(x) and g(x), the composition (f \circ g)(x) is produced by taking the output of g(x) and using it as the input for f(x); symbolically, (f \circ g)(x) = f(g(x)).