Answer:
[tex]\boxed {\boxed {\sf D. \ f(3)= 30}}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)= 3(2)^x+6[/tex]
We want to find f(3), so we must substitute 3 in for x.
[tex]f(3)= 3(2)^3+6[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
Solve the exponent first.
[tex]f(3)= 3(8)+6[/tex]
Multiply 8 and 3.
[tex]f(3)= 24+6[/tex]
Add.
[tex]f(3)=30[/tex]
For the function given, f(3) is 30.
