Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

If [tex]\( f(x) = 3x + \frac{5}{x} \)[/tex], what is [tex]\( f(a+2) \)[/tex]?

A. [tex]\( 3(f(a)) + \frac{5}{f(a)+2} \)[/tex]
B. [tex]\( 3(a+2) + \frac{5}{a+2} \)[/tex]
C. [tex]\( 3a + \frac{5}{-2} \)[/tex]

Sagot :

GinnyAnswer
To solve for [tex]\( f(a+2) \)[/tex] in the function [tex]\( f(x) = 3x + \frac{5}{x} \)[/tex], please follow these steps:

1. Substitute [tex]\( a+2 \)[/tex] in place of [tex]\( x \)[/tex] in the function:

[tex]\[ f(a+2) = 3(a+2) + \frac{5}{a+2} \][/tex]

2. Simplify the expression:

[tex]\[ f(a+2) = 3(a+2) + \frac{5}{a+2} \][/tex]

This is already in its simplest form, as it directly substitutes [tex]\( a+2 \)[/tex] into the given function [tex]\( f(x) \)[/tex].

According to our calculations, comparing the expression [tex]\( 3(a+2) + \frac{5}{a+2} \)[/tex] with the given options, we see that it matches option B.

Therefore, the correct answer is:
[tex]\[ \boxed{3(a+2) + \frac{5}{a+2}} \][/tex]
We hope this was helpful. Please come back whenever you need more information or answers to your queries. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.