Answer :
To solve the problem, we need to evaluate the function [tex]\( f(x) = \left(\frac{1}{7}\right)\left(7^x\right) \)[/tex] for [tex]\( x = 3 \)[/tex].
Let's go through the steps:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
We need to calculate [tex]\( f(3) \)[/tex].
2. Calculate [tex]\( 7^3 \)[/tex]:
To do this, multiply 7 by itself three times:
[tex]\( 7^3 = 7 \times 7 \times 7 = 343 \)[/tex].
3. Calculate the value of the function:
Plug the value of [tex]\( 7^3 \)[/tex] into the function:
[tex]\( f(3) = \left(\frac{1}{7}\right) \times 343 \)[/tex].
4. Simplify the expression:
Multiply [tex]\( \frac{1}{7} \)[/tex] by 343:
[tex]\(\frac{1}{7} \times 343 = 49\)[/tex].
Therefore, [tex]\( f(3) = 49 \)[/tex].
The correct answer is B. 49.
Let's go through the steps:
1. Substitute [tex]\( x = 3 \)[/tex] into the function:
We need to calculate [tex]\( f(3) \)[/tex].
2. Calculate [tex]\( 7^3 \)[/tex]:
To do this, multiply 7 by itself three times:
[tex]\( 7^3 = 7 \times 7 \times 7 = 343 \)[/tex].
3. Calculate the value of the function:
Plug the value of [tex]\( 7^3 \)[/tex] into the function:
[tex]\( f(3) = \left(\frac{1}{7}\right) \times 343 \)[/tex].
4. Simplify the expression:
Multiply [tex]\( \frac{1}{7} \)[/tex] by 343:
[tex]\(\frac{1}{7} \times 343 = 49\)[/tex].
Therefore, [tex]\( f(3) = 49 \)[/tex].
The correct answer is B. 49.
