Answer :
To find [tex]\( f(3) \)[/tex] given the function [tex]\( f(x) = \left(\frac{1}{7}\right) \left(7^x\right) \)[/tex]:
1. Write down the given function:
[tex]\[
f(x) = \left(\frac{1}{7}\right) \left(7^x\right)
\][/tex]
2. Substitute [tex]\( x = 3 \)[/tex] into the function:
[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]\[
\left(\frac{1}{7}\right) \times 343 = \frac{343}{7} = 49
\][/tex]
So, the value of [tex]\( f(3) \)[/tex] is [tex]\( 49 \)[/tex].
The correct answer is:
A. 49
1. Write down the given function:
[tex]\[
f(x) = \left(\frac{1}{7}\right) \left(7^x\right)
\][/tex]
2. Substitute [tex]\( x = 3 \)[/tex] into the function:
[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]\[
\left(\frac{1}{7}\right) \times 343 = \frac{343}{7} = 49
\][/tex]
So, the value of [tex]\( f(3) \)[/tex] is [tex]\( 49 \)[/tex].
The correct answer is:
A. 49
