Question

What is the inverse operation of F(x)=2x+3

Answer 1

`f^(-1)`(x) =
`(x-3)/(2)`

Explanation:

Let y = f(x) and rearrange making x the subject

y = 2x + 3 ( subtract 3 from both sides )

y - 3 = 2x ( divide both sides by 2 )

`(y-3)/(2)` = x

Change y back into terms of x, hence

`f^(-1)`(x ) =
`(x-3)/(2)`

Answer 2

Keep in mind that f(x) means the same thing as y so...

y = 2x + 3

To find the inverse operation you switch the places of x and y like so...

x = 2y + 3

Now you must solve for y. To start off you must subtract 3 to both sides.

x - 3 = 2y + 3 - 3

x - 3 = 2y

Now divide 2 to both sides to completely isolate y

(x - 3) / 2 = 2y / 2

`(1)/(2) x - (3)/(2)` = y

OR

`(x)/(2) -(3)/(2)` = y

Hope this helped!

~Just a girl in love with Shawn Mendes