We appreciate your visit to The functions f and g are defined by f x 2x 3 x 1 and g x 3x 1 Determine the value of fg 1. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
The value of fg (1/3) is 7.
How to find the value of fg(1/3)?
To find the value of fg(1/3), we need to evaluate the composite function fg at x = 1/3.
First, let's find the value of g(1/3):
g(x) = 3x + 1
g(1/3) = 3(1/3) + 1
= 1 + 1
= 2
Now, substitute the value of g(1/3) into f(x):
f(x) = (2x + 3)/(x - 1)
f(g(1/3)) = f(2) = (2(2) + 3)/(2 - 1)
= (4 + 3)/(2 - 1)
= 7/1
= 7
Therefore, the value of fg(1/3) is 7.
So we first found the value of g(1/3) by substituting x = 1/3 into the expression for g(x). Then, we substituted the value of g(1/3) into f(x) to find f(g(1/3)). This resulted in the value 7.
Learn more about composite functions
brainly.com/question/30660139
#SPJ11
Thanks for taking the time to read The functions f and g are defined by f x 2x 3 x 1 and g x 3x 1 Determine the value of fg 1. 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!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
