Answer :
Sure, let's go through the solution step-by-step to find [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex] for the function [tex]\( f(x) = 6x - 4 \)[/tex].
1. Identify the function and the given value:
- The function is [tex]\( f(x) = 6x - 4 \)[/tex].
- We need to find [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex].
2. Substitute the given value into the function:
- Replace [tex]\( x \)[/tex] with 8 in the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(8) = 6(8) - 4 \][/tex]
3. Perform the multiplication:
- Calculate [tex]\( 6 \times 8 \)[/tex]:
[tex]\[ 6 \times 8 = 48 \][/tex]
4. Subtract the constant term:
- Subtract 4 from 48:
[tex]\[ 48 - 4 = 44 \][/tex]
Therefore, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex] is [tex]\( 44 \)[/tex].
So, the correct choice is:
[tex]\[ \boxed{44} \][/tex]
1. Identify the function and the given value:
- The function is [tex]\( f(x) = 6x - 4 \)[/tex].
- We need to find [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex].
2. Substitute the given value into the function:
- Replace [tex]\( x \)[/tex] with 8 in the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(8) = 6(8) - 4 \][/tex]
3. Perform the multiplication:
- Calculate [tex]\( 6 \times 8 \)[/tex]:
[tex]\[ 6 \times 8 = 48 \][/tex]
4. Subtract the constant term:
- Subtract 4 from 48:
[tex]\[ 48 - 4 = 44 \][/tex]
Therefore, the value of [tex]\( f(x) \)[/tex] when [tex]\( x = 8 \)[/tex] is [tex]\( 44 \)[/tex].
So, the correct choice is:
[tex]\[ \boxed{44} \][/tex]
