Answer:
[tex](f o g)(4) = 45[/tex]
Step-by-step explanation:
Step 1:-
Given f(x) = 4 x+1 and g(x) =x^2-5
[tex](f o g )(x) = f(g(x))[/tex]
Given
[tex](f 0 g)(4)=f(g(4))[/tex]
[tex]f(g(4))=f(4^{2}-5)=f(11)[/tex]
[tex]f(11)=4(11)+1 = 45[/tex]
Therefore [tex](f o g)(4) = 45[/tex]