Question

Use the graph shown to evaluate the composition

(f○g)(0)

Answer 1

its 3

Explanation:

took test

Answer 2

Function composition is applying one function to the results of another:

`\rightarrow g(x)\rightarrow f(x)\rightarrow`

This means the result of g() is sent through f(). Written notation for the composition is

`(f\circ g)(x)=f(g(x)).`

Note that
`g(0)=2,` then

`(f\circ g)(0)=f(g(0))=f(2).`

Since
`f(2)=3,` then

`(f\circ g)(0)=f(2)=3.`

Answer:
`(f\circ g)(0)=3.`