Question

Given then function f(x) =3(x+2)-4 solve for the inverse function when x=2

Answer 1

F(x) (or y)=8

PEMDAS helps

Answer 2

0

Explanation:

We are given a function
`f(x) = 3(x+2)-4`.

To find its inverse, we will put this function equal to y (or any other variable) and make x the subject.

`y = 3(x+2)-4`

`y+4 = 3x+6`

`y+4-6 = 3x`

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

So,
`f'(x) = (x-2)/(3)`

Now put x = 2 in this to get the value of inverse of this function:

`f'(2)= ((2)-2)/(3)`
`= 0`

Therefore, the value of the inverse of this function when x = 2 is 0.