166k views
4 votes
F(x) = 1/x
g(x) = x − 4
Can you evaluate (g ○ f)(0)? Explain why or why not.

User Nmoliveira
by
4.9k points

2 Answers

4 votes

Answer:

To evaluate the composition, you need to find the value of function f first. But, f(0) is 1 over 0, and division by 0 is undefined. Therefore, you cannot find the value of the composition.

Explanation:

This is the sample response on edge

User Daniel Sikes
by
5.1k points
5 votes

Answer:

(g ○ f)(0) is invalid

Explanation:

g(x) = x − 4

f(x) = 1/x

(g ○ f)(x) = 1/x - 4

(g ○ f)(0) can not be evaluated, because if x = 0, 1/x becomes invalid.

User Jatal
by
5.4k points