Question

Inverse function question. Help please!
Explain if possible!

Answer 1

Which function below is the inverse of f(x) = 2x + 3/ 5

Answer 2

A. f^-1(x) = 5x + 3/2
B. f^-1(x) = 5x - 3/2
C. f^-1(x) = 5/2x + 3
D. f^-1(x) = 5/ 3 -2x

Answer 3

Hello! Is it \[f(x)=\frac{ 2x+3 }{ 5 }\] or \[f(x)=2x+ \frac{ 3}{ 5 }\]?

Answer 4

Its the first one. Im having trouble understanding what to do after switching the x and y variables

Answer 5

So you already switched x and y like this?
\[ x=\frac{ 2y+3 }{ 5 }\]

Answer 6

Yes I have

Answer 7

All right! So now multiply 5 on both sides.

Answer 8

What would you get?

Answer 9

\[5x = 2y + 3\]

Answer 10

Make the equation look like the slope-intercept form: \(y=mx+b\).

Answer 11

Do you know how?

Answer 12

Do you mean \[2y = 5x + 3\]

Answer 13

?

Answer 14

Yes, but it should be \(2y = 5x - 3\). :)

Now divide both sides by 2, and that's it.

Answer 15

\[5x - 3 / 2 = y\]

Answer 16

\[y= \frac{ 5x-3 }{ 2 } \] or
\[y=\frac{ 5x }{ 2 }-\frac{ 3 }{ 2 }\]

Answer 17

The first one. Sorry.

Answer 18

Oh, you can write it either way I put it, but it is not \(y=5x-\frac{ 3 }{ 2 }\).

Answer 19

I know i meant to do \[y = \frac{ 5x - 3 }{ 2}\]

Answer 20

Thank you so much!

Answer 21

You're welcome! :)