Answer :
To solve the problem, we need to find [tex]\( f(3) \)[/tex] for the function [tex]\( f(x) = \left(\frac{1}{7}\right) \left(7^x\right) \)[/tex].
Let's go through the steps:
1. Substitute [tex]\( x = 3 \)[/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]\[
f(3) = \left(\frac{1}{7}\right) \times 343
\][/tex]
4. Perform the multiplication:
[tex]\[
\left(\frac{1}{7}\right) \times 343 = 343 \div 7 = 49
\][/tex]
So, [tex]\( f(3) \)[/tex] evaluates to [tex]\( 49 \)[/tex].
Therefore, the correct answer is:
A. 49
Let's go through the steps:
1. Substitute [tex]\( x = 3 \)[/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]\[
f(3) = \left(\frac{1}{7}\right) \times 343
\][/tex]
4. Perform the multiplication:
[tex]\[
\left(\frac{1}{7}\right) \times 343 = 343 \div 7 = 49
\][/tex]
So, [tex]\( f(3) \)[/tex] evaluates to [tex]\( 49 \)[/tex].
Therefore, the correct answer is:
A. 49
