Question

Consider these functions: f(x)=x+1 g(x)= 2/x. Which polynomial is equivalent to (f· g)(x)?
A. 2/x+1
B. (2x+2)/x
C. 2/x +1
D. 2/x²+x

Answer 1

Answer:

C. 2/x + 1

Step-by-step explanation:

Given function:

f(x) = x+1

g(x) = 2/x

We have to find (f • g)(x) = f (g(x)).

For g(x) = 2/x, putting it in f(g(x)),we have:

• f(2/x)

From the first function ,

• f(x) = x+1

Then for f(2/x) , x = 2/x

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

$\boxed{\sf f(g(x)) = (f•g)(x) = (2/x) + 1}$