Answer :
We start by evaluating the inner function. Given
[tex]$$
g(x)=4x,
$$[/tex]
we substitute [tex]$x=6$[/tex] to find
[tex]$$
g(6)=4\cdot6=24.
$$[/tex]
Next, we evaluate the outer function. The function
[tex]$$
f(x)=2x+1
$$[/tex]
is applied to [tex]$g(6)=24$[/tex], so we have
[tex]$$
f(24)=2\cdot24+1=48+1=49.
$$[/tex]
Thus, the final result is
[tex]$$
\boxed{49}.
$$[/tex]
[tex]$$
g(x)=4x,
$$[/tex]
we substitute [tex]$x=6$[/tex] to find
[tex]$$
g(6)=4\cdot6=24.
$$[/tex]
Next, we evaluate the outer function. The function
[tex]$$
f(x)=2x+1
$$[/tex]
is applied to [tex]$g(6)=24$[/tex], so we have
[tex]$$
f(24)=2\cdot24+1=48+1=49.
$$[/tex]
Thus, the final result is
[tex]$$
\boxed{49}.
$$[/tex]
