113k views
2 votes
If f(x)=x and g(x)=2, what is (f o g)(x)?

1 Answer

3 votes

Final answer:

The composition (f o g)(x), where f(x) = x and g(x) = 2, is equal to the constant value 2.

Step-by-step explanation:

If f(x) = x and g(x) = 2, to find (f o g)(x), also read as "f composed with g of x", you would substitute g(x) into f(x).

The function g(x) is a constant function where every value of x gives the output 2.

When we compose f(x) and g(x), it means we plug the output of g(x) into the function f(x).

Thus, (f o g)(x) = f(g(x)) = f(2) = 2. The composition of f(x) with g(x) is simply the constant value 2.

User Otakustay
by
6.1k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.