Answer:
(b) (g∘f)(x) = (x +1)²
Explanation:
Given that f(x) = x +1 and g(x) = x², you want to know the meaning of (g∘f)(x).
Composition
The ring operator (∘) is used to form a composition of functions. The composition is evaluated right to left:
(g∘f)(x) = g(f(x))
That is, f(x) is evaluated first, and the result is used as the argument for function g.
g(f(x)) = g(x +1) = (x +1)²
Then ...
(g∘f)(x) = (x +1)²