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If [tex]f(x)=\left(\frac{1}{9}\right)\left(9^x\right)[/tex], what is [tex]f(3)?[/tex]

A. [tex]\frac{1}{729}[/tex]
B. [tex]\frac{1}{81}[/tex]
C. 81
D. 729

Answer :

To solve the problem, we need to find the value of [tex]\( f(3) \)[/tex] for the function given by [tex]\( f(x) = \left(\frac{1}{9}\right)\left(9^x\right) \)[/tex].

1. Substitute [tex]\( x = 3 \)[/tex] into the function:

[tex]\[
f(3) = \left(\frac{1}{9}\right)\left(9^3\right)
\][/tex]

2. Calculate [tex]\( 9^3 \)[/tex]:

- [tex]\( 9^3 \)[/tex] means multiplying 9 by itself three times:

[tex]\[
9 \times 9 \times 9 = 729
\][/tex]

3. Multiply [tex]\(\frac{1}{9}\)[/tex] by [tex]\( 729 \)[/tex]:

- Now we multiply [tex]\(\frac{1}{9}\)[/tex] by [tex]\( 729 \)[/tex]:

[tex]\[
\frac{1}{9} \times 729 = 81
\][/tex]

Thus, the value of [tex]\( f(3) \)[/tex] is [tex]\( 81 \)[/tex].

So, the correct answer is [tex]\( C. 81 \)[/tex].

Thanks for taking the time to read If tex f x left frac 1 9 right left 9 x right tex what is tex f 3 tex A tex frac 1 729. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

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