Answer :
To find [tex]\( f(3) \)[/tex] for the function [tex]\( f(x) = \left(\frac{1}{7}\right)\left(7^x\right) \)[/tex], follow these steps:
1. Substitute 3 for [tex]\( x \)[/tex] in the function:
[tex]\[
f(3) = \left(\frac{1}{7}\right)\left(7^3\right)
\][/tex]
2. Calculate [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
3. Multiply [tex]\(\frac{1}{7}\)[/tex] by 343:
[tex]\[
f(3) = \frac{1}{7} \times 343 = 49
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 49. Thus, the correct answer is D. 49.
1. Substitute 3 for [tex]\( x \)[/tex] in the function:
[tex]\[
f(3) = \left(\frac{1}{7}\right)\left(7^3\right)
\][/tex]
2. Calculate [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
3. Multiply [tex]\(\frac{1}{7}\)[/tex] by 343:
[tex]\[
f(3) = \frac{1}{7} \times 343 = 49
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 49. Thus, the correct answer is D. 49.
