Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

If [tex][tex]$f(x)=2x^2 + 5\sqrt{x-2}$[/tex][/tex], complete the following statement:

[tex][tex]$f(6)=$[/tex] \quad\quad\quad\quad$[/tex]

Sagot :

GinnyAnswer
To find the value of the function [tex]\( f(x) = 2x^2 + 5\sqrt{x-2} \)[/tex] at [tex]\( x = 6 \)[/tex], we need to substitute [tex]\( x \)[/tex] with 6 in the function and follow these steps:

1. Substitute [tex]\( x = 6 \)[/tex] into the function:
[tex]\[ f(6) = 2(6)^2 + 5\sqrt{6-2} \][/tex]

2. Calculate [tex]\( 6^2 \)[/tex]:
[tex]\[ 6^2 = 36 \][/tex]

3. Multiply by 2:
[tex]\[ 2 \cdot 36 = 72 \][/tex]

4. Calculate the value inside the square root:
[tex]\[ 6 - 2 = 4 \][/tex]

5. Take the square root of 4:
[tex]\[ \sqrt{4} = 2 \][/tex]

6. Multiply by 5:
[tex]\[ 5 \cdot 2 = 10 \][/tex]

7. Add the results from step 3 and step 6:
[tex]\[ 72 + 10 = 82 \][/tex]

Therefore,
[tex]\[ f(6) = 82 \][/tex]
Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.