Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Join our Q&A platform and get accurate answers to all your questions from professionals across multiple disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

If [tex]$f(x)=\left(\frac{1}{7}\right)\left(7^x\right)$[/tex], what is [tex]$f(3)$[/tex]?

A. 49
B. [tex]$\frac{1}{343}$[/tex]
C. 343
D. [tex][tex]$\frac{1}{49}$[/tex][/tex]

Sagot :

GinnyAnswer
To solve for [tex]\( f(3) \)[/tex] given the function [tex]\( f(x) = \left( \frac{1}{7} \right) (7^x) \)[/tex], let's follow these steps:

1. Substitute [tex]\( x \)[/tex] with 3 in the function [tex]\( f(x) \)[/tex]:
[tex]\[ f(3) = \left( \frac{1}{7} \right) (7^3) \][/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 [tex]\( 343 \)[/tex]:
[tex]\[ f(3) = \left( \frac{1}{7} \right) \times 343 = \frac{343}{7} \][/tex]

4. Simplify [tex]\( \frac{343}{7} \)[/tex]:
[tex]\[ \frac{343}{7} = 49 \][/tex]

Thus, the value of [tex]\( f(3) \)[/tex] is [tex]\( 49 \)[/tex].

The correct answer is:
A. 49
Thank you for visiting our platform. We hope you found the answers you were looking for. Come back anytime you need more information. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.