Answer: [tex](f\°g)(0)=3[/tex]
Step-by-step explanation:
- For the function g(x) you must find the value of y (output value) when [tex]x=0[/tex]. As you can see in the graph (observe the parabola), when [tex]x=0[/tex] (input value), then:
[tex]y=2[/tex] or [tex]g(0)=2[/tex]
- Now, 2 will be the input value of the function f(x). Then, you must find the value of y (output value) when [tex]x=2[/tex]. As you can see in the graph of this function, when [tex]x=2[/tex], then:
[tex]y=3[/tex] or [tex]f(2)=3[/tex]
Therefore, you can conclude that:
[tex](f\°g)(0)=3[/tex]
