To find [tex]\( f(4) \)[/tex] for the function [tex]\( f(x) = 6x + 8 \)[/tex], follow these steps:
1. Identify the given function: [tex]\( f(x) = 6x + 8 \)[/tex].
2. Substitute [tex]\( x = 4 \)[/tex] into the function: This means replacing the [tex]\( x \)[/tex] in the function with 4.
So, we calculate:
[tex]\[
f(4) = 6(4) + 8
\][/tex]
3. Perform the multiplication: Multiply 6 by 4.
[tex]\[
6 \cdot 4 = 24
\][/tex]
4. Add the constant term: Add 8 to the result from the previous step.
[tex]\[
24 + 8 = 32
\][/tex]
Thus, the value of [tex]\( f(4) \)[/tex] is:
[tex]\[
f(4) = 32
\][/tex]