Answer :
To find [tex]\( f(6) \)[/tex] for the function [tex]\( f(x) = 7x - 4 \)[/tex], follow these steps:
1. Identify the function and the input: We know that [tex]\( f(x) = 7x - 4 \)[/tex] and we need to find the value of the function when [tex]\( x = 6 \)[/tex].
2. Substitute the input value into the function: Replace [tex]\( x \)[/tex] in the expression [tex]\( 7x - 4 \)[/tex] with 6.
3. Perform the multiplication: Calculate [tex]\( 7 \times 6 \)[/tex], which equals 42.
4. Subtract from the product: Take the result from the multiplication (42) and subtract 4.
[tex]\[
42 - 4 = 38
\][/tex]
So, [tex]\( f(6) = 38 \)[/tex].
The correct answer is C. 38.
1. Identify the function and the input: We know that [tex]\( f(x) = 7x - 4 \)[/tex] and we need to find the value of the function when [tex]\( x = 6 \)[/tex].
2. Substitute the input value into the function: Replace [tex]\( x \)[/tex] in the expression [tex]\( 7x - 4 \)[/tex] with 6.
3. Perform the multiplication: Calculate [tex]\( 7 \times 6 \)[/tex], which equals 42.
4. Subtract from the product: Take the result from the multiplication (42) and subtract 4.
[tex]\[
42 - 4 = 38
\][/tex]
So, [tex]\( f(6) = 38 \)[/tex].
The correct answer is C. 38.