Question

Given f(x) = the quantity of x minus 5, divided by 3, solve for f-1(3)

Answer 1

the equation would be f(x)=(x-5)/3

Answer 2

thank you! can i ask another?

Answer 3

do you know how to solve the equation? and yes

Answer 4

would the answer be 21?

Answer 5

im confused as to what f is so i dont know

Answer 6

it says

Answer 7

Given f(x) = the quantity of x minus 5, divided by 3, solve for f-1(3).

-1

14

18

21

Answer 8

@geerky42

Answer 9

So we are given that \(f(x) = y = \dfrac{x-5}{3}\)

To find \(f^{-1}(x)\), just swap x and y to each other then solve for y.

So we have \(x = \dfrac{y-5}{3}\)

Answer 10

Can you solve for y? @dontsmileurugly

Answer 11

no :S

Answer 12

You need to islate y. take all of these number to other side, where x is.

Maybe start by multiplying both sides by 3?

Answer 13

isolate y*

Answer 14

so 15 and 9

Answer 15

Multiply both sides by 3, what do you get?

Answer 16

15

Answer 17

How?

Answer 18

5x3

Answer 19

\(x=\dfrac{y-5}{3}\)

\(x\color{red}{*3}=\dfrac{y-5}{3}\color{red}{*3}\)

\(3x = \cdots?\)

Answer 20

@dontsmileurugly when you multiply 3 it cancels out the other 3

Answer 21

so its just 3?

Answer 22

3x=y-5