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

Answer:

0

Step-by-step 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.

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

$y+4 = 3x+6$

$y+4-6 = 3x$

$\frac{y-2}{3} = x$

So, $f'(x) = \frac{x-2}{3}$

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

$f'(2)= \frac{(2)-2}{3}$ $= 0$

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