
Answer:
Option B- [tex]f(x)=3(8.35^x)[/tex]
Step-by-step explanation:
Given function: [tex]f(x)=3(1.7)^{4x}[/tex]
Simplifying the function :
Step 1: Write the expression
[tex]f(x)=3(1.7)^{4x}[/tex]
Step 2: Apply exponent rule ( [tex]a^{mn}=(a^m)^n[/tex] )
[tex]f(x)=3(1.7^4)^x[/tex]
Step 3: Solve
[tex]f(x)=3(8.35^x)[/tex]
Therefore, Option B is correct [tex]f(x)=3(8.35^x)[/tex]