Answer :
Let's solve the problem step-by-step:
You have the function [tex]\( f(x) = \left(\frac{1}{7}\right) \left(7^x\right) \)[/tex].
To find [tex]\( f(3) \)[/tex], we will substitute [tex]\( x = 3 \)[/tex] into the function:
1. Calculate [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
2. Multiply by [tex]\(\frac{1}{7}\)[/tex]:
[tex]\[
f(3) = \left(\frac{1}{7}\right) \times 343
\][/tex]
3. Now, simplify [tex]\(\left(\frac{1}{7}\right) \times 343\)[/tex]:
[tex]\[
f(3) = \frac{343}{7} = 49
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 49.
Thus, the correct answer is:
A. 49
You have the function [tex]\( f(x) = \left(\frac{1}{7}\right) \left(7^x\right) \)[/tex].
To find [tex]\( f(3) \)[/tex], we will substitute [tex]\( x = 3 \)[/tex] into the function:
1. Calculate [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
2. Multiply by [tex]\(\frac{1}{7}\)[/tex]:
[tex]\[
f(3) = \left(\frac{1}{7}\right) \times 343
\][/tex]
3. Now, simplify [tex]\(\left(\frac{1}{7}\right) \times 343\)[/tex]:
[tex]\[
f(3) = \frac{343}{7} = 49
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 49.
Thus, the correct answer is:
A. 49
