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Answer :
To find [tex]\( f(6) \)[/tex] for the function [tex]\( f(x) = 7x - 4 \)[/tex], follow these steps:
1. Identify the function: We have [tex]\( f(x) = 7x - 4 \)[/tex]. This means for any input [tex]\( x \)[/tex], you'll multiply it by 7 and then subtract 4.
2. Substitute the given input: We need to find [tex]\( f(6) \)[/tex]. Substitute [tex]\( 6 \)[/tex] into the function in place of [tex]\( x \)[/tex].
3. Perform the multiplication:
[tex]\[
7 \times 6 = 42
\][/tex]
4. Subtract 4 from the result:
[tex]\[
42 - 4 = 38
\][/tex]
5. Conclusion: So, [tex]\( f(6) = 38 \)[/tex].
Therefore, the correct answer is [tex]\( C. 38 \)[/tex].
1. Identify the function: We have [tex]\( f(x) = 7x - 4 \)[/tex]. This means for any input [tex]\( x \)[/tex], you'll multiply it by 7 and then subtract 4.
2. Substitute the given input: We need to find [tex]\( f(6) \)[/tex]. Substitute [tex]\( 6 \)[/tex] into the function in place of [tex]\( x \)[/tex].
3. Perform the multiplication:
[tex]\[
7 \times 6 = 42
\][/tex]
4. Subtract 4 from the result:
[tex]\[
42 - 4 = 38
\][/tex]
5. Conclusion: So, [tex]\( f(6) = 38 \)[/tex].
Therefore, the correct answer is [tex]\( C. 38 \)[/tex].
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