Answer :
Certainly! Let's solve this step-by-step:
We're given a function:
[tex]\[ f(x) = \left(\frac{1}{5}\right) \times 9^x \][/tex]
We need to find the value of [tex]\( f(3) \)[/tex].
1. Calculate [tex]\( 9^3 \)[/tex]:
To do this, multiply 9 by itself three times:
[tex]\[
9^3 = 9 \times 9 \times 9 = 729
\][/tex]
2. Multiply by [tex]\(\frac{1}{5}\)[/tex]:
Now that we have [tex]\( 9^3 = 729 \)[/tex], we multiply it by [tex]\(\frac{1}{5}\)[/tex]:
[tex]\[
f(3) = \left(\frac{1}{5}\right) \times 729 = \frac{729}{5} = 145.8
\][/tex]
Based on our calculations:
- [tex]\( f(3) \)[/tex] is equal to 145.8.
In the context of the choices provided in the question, none of the options exactly matches this answer.
- The closest option does not exist, so it seems there may be a mismatch or error in the choices given.
We're given a function:
[tex]\[ f(x) = \left(\frac{1}{5}\right) \times 9^x \][/tex]
We need to find the value of [tex]\( f(3) \)[/tex].
1. Calculate [tex]\( 9^3 \)[/tex]:
To do this, multiply 9 by itself three times:
[tex]\[
9^3 = 9 \times 9 \times 9 = 729
\][/tex]
2. Multiply by [tex]\(\frac{1}{5}\)[/tex]:
Now that we have [tex]\( 9^3 = 729 \)[/tex], we multiply it by [tex]\(\frac{1}{5}\)[/tex]:
[tex]\[
f(3) = \left(\frac{1}{5}\right) \times 729 = \frac{729}{5} = 145.8
\][/tex]
Based on our calculations:
- [tex]\( f(3) \)[/tex] is equal to 145.8.
In the context of the choices provided in the question, none of the options exactly matches this answer.
- The closest option does not exist, so it seems there may be a mismatch or error in the choices given.
