Answered

Discover answers to your questions with Westonci.ca, the leading Q&A platform that connects you with knowledgeable experts. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently. 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 hope our answers were useful. Return anytime for more information and answers to any other questions you have. Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.