Answer :
To find [tex]\( f(6) \)[/tex] for the function [tex]\( f(x) = 7x - 4 \)[/tex], follow these steps:
1. Substitute the value of [tex]\( x \)[/tex] into the function.
When [tex]\( x = 6 \)[/tex], substitute 6 for [tex]\( x \)[/tex] in the expression:
[tex]\[
f(6) = 7 \times 6 - 4
\][/tex]
2. Perform the multiplication.
Calculate [tex]\( 7 \times 6 \)[/tex]:
[tex]\[
7 \times 6 = 42
\][/tex]
3. Subtract the constant.
Subtract 4 from the result of the multiplication:
[tex]\[
42 - 4 = 38
\][/tex]
Thus, the answer is [tex]\( f(6) = 38 \)[/tex].
So, the correct choice is C. 38.
1. Substitute the value of [tex]\( x \)[/tex] into the function.
When [tex]\( x = 6 \)[/tex], substitute 6 for [tex]\( x \)[/tex] in the expression:
[tex]\[
f(6) = 7 \times 6 - 4
\][/tex]
2. Perform the multiplication.
Calculate [tex]\( 7 \times 6 \)[/tex]:
[tex]\[
7 \times 6 = 42
\][/tex]
3. Subtract the constant.
Subtract 4 from the result of the multiplication:
[tex]\[
42 - 4 = 38
\][/tex]
Thus, the answer is [tex]\( f(6) = 38 \)[/tex].
So, the correct choice is C. 38.