Answer :
To find [tex]\( f(3) \)[/tex] for the function [tex]\( f(x) = \left(\frac{1}{7}\right) \left(7^x\right) \)[/tex], you need to plug in [tex]\( x = 3 \)[/tex] into the function and simplify.
Let's break it down step by step:
1. Identify the function:
The given function is [tex]\( f(x) = \left(\frac{1}{7}\right) \left(7^x\right) \)[/tex].
2. Substitute [tex]\( x = 3 \)[/tex] into the function:
So, [tex]\( f(3) = \left(\frac{1}{7}\right) \left(7^3\right) \)[/tex].
3. Calculate [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
4. Multiply [tex]\(\frac{1}{7}\)[/tex] by 343:
[tex]\[
f(3) = \left(\frac{1}{7}\right) \times 343 = \frac{343}{7}
\][/tex]
5. Simplify [tex]\( \frac{343}{7} \)[/tex]:
[tex]\[
\frac{343}{7} = 49
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 49.
The correct answer is B. 49.
Let's break it down step by step:
1. Identify the function:
The given function is [tex]\( f(x) = \left(\frac{1}{7}\right) \left(7^x\right) \)[/tex].
2. Substitute [tex]\( x = 3 \)[/tex] into the function:
So, [tex]\( f(3) = \left(\frac{1}{7}\right) \left(7^3\right) \)[/tex].
3. Calculate [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
4. Multiply [tex]\(\frac{1}{7}\)[/tex] by 343:
[tex]\[
f(3) = \left(\frac{1}{7}\right) \times 343 = \frac{343}{7}
\][/tex]
5. Simplify [tex]\( \frac{343}{7} \)[/tex]:
[tex]\[
\frac{343}{7} = 49
\][/tex]
Therefore, the value of [tex]\( f(3) \)[/tex] is 49.
The correct answer is B. 49.
