Question

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

𝑓 ={(−7,0),(4,5),(8,12),(−3,6)}⁢𝑔 ={(6,8),(−12,−5),(0,5),(5,1)}



𝑓 ∘𝑔 =
Domain:
Range:



𝑔 ∘𝑓 =
Domain:
Range:

Answer 1

f∘g = {(6,12)}
Domain: {6}
Range: {12}

g∘f = {(-7,5),(4,1),(-3,8)}
Domain: {-7,4,-3}
Range: {5,1,8}