Answer :
To find [tex]\(f(3)\)[/tex], given the function [tex]\(f(x) = \left(\frac{1}{7}\right)\left(7^x\right)\)[/tex], follow these steps:
1. Substitute [tex]\(x = 3\)[/tex] into the function: According to the problem, we need to evaluate the function at [tex]\(x = 3\)[/tex], so replace [tex]\(x\)[/tex] with 3 in the formula:
[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]\[
f(3) = \frac{343}{7} = 49
\][/tex]
So, the value of [tex]\(f(3)\)[/tex] is 49.
The correct answer is:
C. 49
1. Substitute [tex]\(x = 3\)[/tex] into the function: According to the problem, we need to evaluate the function at [tex]\(x = 3\)[/tex], so replace [tex]\(x\)[/tex] with 3 in the formula:
[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]\[
f(3) = \frac{343}{7} = 49
\][/tex]
So, the value of [tex]\(f(3)\)[/tex] is 49.
The correct answer is:
C. 49
