IDNLearn.com: Where questions are met with accurate and insightful answers. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.
Sagot :
Sure, let's find the value of [tex]\( f\left(\frac{1}{3}\right) \)[/tex] for the function [tex]\( f(x) = 18x^2 + 30x + 2 \)[/tex].
1. Substitute [tex]\( x = \frac{1}{3} \)[/tex] into the function:
[tex]\[ f\left(\frac{1}{3}\right) = 18 \left(\frac{1}{3}\right)^2 + 30 \left(\frac{1}{3}\right) + 2 \][/tex]
2. Calculate [tex]\( \left(\frac{1}{3}\right)^2 \)[/tex]:
[tex]\[ \left(\frac{1}{3}\right)^2 = \frac{1}{9} \][/tex]
3. Multiply 18 by [tex]\( \frac{1}{9} \)[/tex]:
[tex]\[ 18 \times \frac{1}{9} = 2 \][/tex]
4. Multiply 30 by [tex]\( \frac{1}{3} \)[/tex]:
[tex]\[ 30 \times \frac{1}{3} = 10 \][/tex]
5. Add the results together:
[tex]\[ f\left(\frac{1}{3}\right) = 2 + 10 + 2 \][/tex]
[tex]\[ f\left(\frac{1}{3}\right) = 14 \][/tex]
So, the value of [tex]\( f\left(\frac{1}{3}\right) \)[/tex] is:
[tex]\[ f\left(\frac{1}{3}\right) = 14 \][/tex]
1. Substitute [tex]\( x = \frac{1}{3} \)[/tex] into the function:
[tex]\[ f\left(\frac{1}{3}\right) = 18 \left(\frac{1}{3}\right)^2 + 30 \left(\frac{1}{3}\right) + 2 \][/tex]
2. Calculate [tex]\( \left(\frac{1}{3}\right)^2 \)[/tex]:
[tex]\[ \left(\frac{1}{3}\right)^2 = \frac{1}{9} \][/tex]
3. Multiply 18 by [tex]\( \frac{1}{9} \)[/tex]:
[tex]\[ 18 \times \frac{1}{9} = 2 \][/tex]
4. Multiply 30 by [tex]\( \frac{1}{3} \)[/tex]:
[tex]\[ 30 \times \frac{1}{3} = 10 \][/tex]
5. Add the results together:
[tex]\[ f\left(\frac{1}{3}\right) = 2 + 10 + 2 \][/tex]
[tex]\[ f\left(\frac{1}{3}\right) = 14 \][/tex]
So, the value of [tex]\( f\left(\frac{1}{3}\right) \)[/tex] is:
[tex]\[ f\left(\frac{1}{3}\right) = 14 \][/tex]
Thank you for contributing to our discussion. Don't forget to check back for new answers. Keep asking, answering, and sharing useful information. IDNLearn.com is your reliable source for accurate answers. Thank you for visiting, and we hope to assist you again.