Question

Consider the following function: f(x)=-3/4x+9

place the steps for finding f-1 (x) in the correct order

Answer 1

• Let y=f(x)

`\\ \tt\hookrightarrow y=(-3)/(4)x+9`

`\\ \tt\hookrightarrow y-9=(-3x)/(4)`

`\\ \tt\hookrightarrow -3x=4y-36`

`\\ \tt\hookrightarrow x=(-4)/(3)y+12`

Now

`\\ \tt\hookrightarrow f^(-1)x=(-4)/(3)x+12`

Answer 2

`f^(-1)(x) = ( (4y - 36)/(-3) )`

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,
`f^(-1)(x) = ( (4y - 36)/(-3) )`