Answer :
We are given the functions:
[tex]$$
f(x) = 2x + 1 \quad \text{and} \quad g(x) = 4x.
$$[/tex]
Step 1: Compute [tex]$g(6)$[/tex].
[tex]$$
g(6) = 4 \times 6 = 24.
$$[/tex]
Step 2: Compute [tex]$f(g(6))$[/tex], which is the same as [tex]$f(24)$[/tex].
[tex]$$
f(24) = 2 \times 24 + 1 = 48 + 1 = 49.
$$[/tex]
Thus, the final answer is [tex]$\boxed{49}$[/tex].
[tex]$$
f(x) = 2x + 1 \quad \text{and} \quad g(x) = 4x.
$$[/tex]
Step 1: Compute [tex]$g(6)$[/tex].
[tex]$$
g(6) = 4 \times 6 = 24.
$$[/tex]
Step 2: Compute [tex]$f(g(6))$[/tex], which is the same as [tex]$f(24)$[/tex].
[tex]$$
f(24) = 2 \times 24 + 1 = 48 + 1 = 49.
$$[/tex]
Thus, the final answer is [tex]$\boxed{49}$[/tex].
