Answered

Discover a wealth of knowledge at Westonci.ca, where experts provide answers to your most pressing questions. Experience the ease of finding quick and accurate answers to your questions from professionals on our platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

give the function f (x) =9x+7, find its inverse

Sagot :

konrad509
[tex]f(x)=9x+7\\ y=9x+7\\ 9x=y-7\\ x=\dfrac{1}{9}y-\dfrac{7}{9}\\ f^{-1}(x)=\dfrac{1}{9}x-\dfrac{7}{9}\\[/tex]

Applying it's definition, the inverse of the function f(x) = 9x + 7 is given by:

[tex]f^{-1}(x) = \frac{x - 7}{9}[/tex]

How to find the inverse of a function?

Suppose we have a function y = f(x). To find the inverse function, we exchange x and y in the original function, then isolate f.

In this problem, the function is:

y = 9x + 7

Exchanging:

x = 9y + 7

Isolating y:

9y = x - 7

[tex]y = \frac{x - 7}{9}[/tex]

[tex]f^{-1}(x) = \frac{x - 7}{9}[/tex]

More can be learned about inverse functions at https://brainly.com/question/8824268

#SPJ2

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.