SOLUTION
Step 1 :
In this question, we are given that two functions G and F on defined in the figure below.
We are meant to find the domain and range of the composition of f o g.
Step 2 :
Comparing the domain of f with the range of g means that
we are comparing the numbers that are common for both,
as we can see 0 and 6 are common for both.
Step 3 :
[tex]\begin{gathered} \text{The domain of f o g is given as :}\lbrace\text{ 4, 5, 7 }\rbrace \\ \text{The range of f o g is given as : }\lbrace1\text{ }\rbrace \end{gathered}[/tex]
CONCLUSION:
[tex]\begin{gathered} \text{The domain of f o g is given as :}\lbrace\text{ 4, 5, 7 }\rbrace \\ \text{The range of f o g is given as :}\lbrace1\text{ }\rbrace \end{gathered}[/tex]
