Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

consider the following function: f(x)=-3/4x+9
place the steps for finding f-1 (x) in the correct order

Sagot :

fieryanswererft

Answer:

[tex]f^{-1}(x) = ( \frac{4y - 36}{-3} )[/tex]

Step-by-step explanation:

f(x)=-3/4x+9

let f(x) be y .......................to find inverse we have making x the subject.

y = -3/4x+9

y - 9 = -3/4 x

-3x = 4y - 36

x = (4y - 36)/-3

so, [tex]f^{-1}(x) = ( \frac{4y - 36}{-3} )[/tex]
  • Let y=f(x)

[tex]\\ \tt\hookrightarrow y=\dfrac{-3}{4}x+9[/tex]

[tex]\\ \tt\hookrightarrow y-9=\dfrac{-3x}{4}[/tex]

[tex]\\ \tt\hookrightarrow -3x=4y-36[/tex]

[tex]\\ \tt\hookrightarrow x=\dfrac{-4}{3}y+12[/tex]

Now

[tex]\\ \tt\hookrightarrow f^{-1}x=\dfrac{-4}{3}x+12[/tex]

We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.