Answer :
To solve the problem of finding [tex]\( f(3) \)[/tex] for the function [tex]\( f(x) = \left(\frac{1}{7}\right)\left(7^x\right) \)[/tex], follow these steps:
1. Understand the Function:
The function given is [tex]\( f(x) = \frac{1}{7} \times 7^x \)[/tex].
2. Substitute the Value of [tex]\( x = 3 \)[/tex]:
We need to find [tex]\( f(3) \)[/tex], so substitute [tex]\( x \)[/tex] with 3 in the function. This gives:
[tex]\[
f(3) = \frac{1}{7} \times 7^3
\][/tex]
3. Calculate [tex]\( 7^3 \)[/tex]:
First, calculate the value of [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
4. Multiply [tex]\(\frac{1}{7}\)[/tex] with [tex]\( 343 \)[/tex]:
Now, multiply [tex]\(\frac{1}{7}\)[/tex] by 343:
[tex]\[
f(3) = \frac{1}{7} \times 343 = 49
\][/tex]
Thus, the value of [tex]\( f(3) \)[/tex] is [tex]\( 49 \)[/tex].
The correct answer is B. 49.
1. Understand the Function:
The function given is [tex]\( f(x) = \frac{1}{7} \times 7^x \)[/tex].
2. Substitute the Value of [tex]\( x = 3 \)[/tex]:
We need to find [tex]\( f(3) \)[/tex], so substitute [tex]\( x \)[/tex] with 3 in the function. This gives:
[tex]\[
f(3) = \frac{1}{7} \times 7^3
\][/tex]
3. Calculate [tex]\( 7^3 \)[/tex]:
First, calculate the value of [tex]\( 7^3 \)[/tex]:
[tex]\[
7^3 = 7 \times 7 \times 7 = 343
\][/tex]
4. Multiply [tex]\(\frac{1}{7}\)[/tex] with [tex]\( 343 \)[/tex]:
Now, multiply [tex]\(\frac{1}{7}\)[/tex] by 343:
[tex]\[
f(3) = \frac{1}{7} \times 343 = 49
\][/tex]
Thus, the value of [tex]\( f(3) \)[/tex] is [tex]\( 49 \)[/tex].
The correct answer is B. 49.
