Question

Find 𝑓 ∘𝑔 and 𝑔 ∘𝑓, if they exist. State the domain and range for each.

𝑓 ={(5,13),(−4,−2),(−8,−11),(3,1)}⁢𝑔 ={(−8,2),(−4,1),(3,−3),(5,7)}



𝑓 ∘𝑔 = 1 of 6.
Select Choice

Domain: 2 of 6.
Select Choice

Range: 3 of 6.
Select Choice



𝑔 ∘𝑓 = 4 of 6.
Select Choice

Domain: 5 of 6.
Select Choice

Range:

Answer 1

Compute outputs:

- g's outputs: {2, 1, −3, 7}. f's domain: {5, −4, −8, 3}. No g(x) value is in f's domain, so f∘g = ∅.
- Domain(f∘g) = ∅
- Range(f∘g) = ∅

- f's outputs: {13, −2, −11, 1}. g's domain: {−8, −4, 3, 5}. No f(x) value is in g's domain, so g∘f = ∅.
- Domain(g∘f) = ∅
- Range(g∘f) = ∅