To solve for [tex]\( f(0) \)[/tex] when the function is given by [tex]\( f(x) = 4x + 2 \)[/tex], follow these steps:
1. Identify the function and the input value:
- The function given is [tex]\( f(x) = 4x + 2 \)[/tex].
- We need to find the value of the function when [tex]\( x = 0 \)[/tex].
2. Substitute the input value into the function:
- Replace [tex]\( x \)[/tex] with [tex]\( 0 \)[/tex] in the function [tex]\( f(x) \)[/tex].
3. Perform the substitution:
- [tex]\( f(0) = 4(0) + 2 \)[/tex].
4. Simplify the expression:
- Calculate [tex]\( 4 \times 0 \)[/tex].
- [tex]\( 4 \times 0 = 0 \)[/tex].
- Then add [tex]\( 2 \)[/tex].
- [tex]\( 0 + 2 = 2 \)[/tex].
5. State the result:
- [tex]\( f(0) = 2 \)[/tex].
Hence, the value of [tex]\( f(0) \)[/tex] is [tex]\( 2 \)[/tex].