To find the value of [tex]\( f(16) \)[/tex] given the function [tex]\( f(x) = 4x - 8 \)[/tex], follow these steps:
1. Identify the function given in the problem: [tex]\( f(x) = 4x - 8 \)[/tex].
2. Substitute [tex]\( x \)[/tex] with [tex]\( 16 \)[/tex] into the function because we need to find [tex]\( f(16) \)[/tex].
Therefore,
[tex]\[
f(16) = 4(16) - 8
\][/tex]
3. Next, perform the multiplication first as per the order of operations (PEMDAS/BODMAS rules).
[tex]\[
4 \times 16 = 64
\][/tex]
4. After finding the product, subtract [tex]\( 8 \)[/tex] from [tex]\( 64 \)[/tex].
[tex]\[
64 - 8 = 56
\][/tex]
5. Therefore, the value of [tex]\( f(16) \)[/tex] is:
[tex]\[
f(16) = 56
\][/tex]
The correct answer is: [tex]\( 56 \)[/tex].
