Question

F(x)=x+1
g(x)=2/x
Which polynomial is equivalent to (f ◦ g)(x)?

Answer 1

f(x) = 2/x + 1

Explanation:

(f · g)(x) means to take (g(x)) and input it's value on to (f(x)). In other words, (f · g)(x) = f(g(x)). To solve this, we substitute x in f(x) for g(x). Thus,

f(x) = x + 1

f(g(x)) = (2/x) + 1

(f · g)(x) = 2/x + 1