Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.
Sagot :
Answer : [tex]\bf \dfrac{x+1}{3}[/tex]
A function is given to us and we need to find out the inverse of the function . The given function is ,
[tex]\rm \implies f(x) = 3x - 1 [/tex]
Step 1: Substitute y = f(x) :-
[tex]\rm \implies y = 3x -1[/tex]
Step 2: Interchange x and y :-
[tex]\rm \implies x = 3y - 1[/tex]
Step 3: Solve for y :-
[tex]\rm \implies 3y = x + 1 \\[/tex]
[tex]\rm \implies y =\dfrac{x+1}{3} [/tex]
Step 4: Replace y with f-¹(x) :-
[tex]\rm \implies \underline{\boxed{\red{\rm f^{-1}(x) = \dfrac{x+1}{3}}}} [/tex]
Hence the inverse of the function is (x+1)/3.
I hope this helps .
We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.