Question

Help how do i solve this for the inverse id="TexFormula1" title="f(x) = \frac{x - 2}{3} " alt="f(x) = \frac{x - 2}{3} " align="absmiddle" class="latex-formula">

Answer 1

Answer:

$\boxed{f^{-1}(x)=3x+2}$

Step-by-step explanation:

$f(x)=\dfrac{x-2}{3}\to y=\dfrac{x-2}{3}\\\\\text{exchange x and y}\\\\x=\dfrac{y-2}{3}\\\\\text{solve for y}\\\\\dfrac{y-2}{3}=x\qquad\text{multiply both sides by 3}\\\\y-2=3x\qquad\text{add 2 to both sides}\\\\y=3x+2$

Answer 2

Answer:

The inverse function is 3x+2

Step-by-step explanation:

To get the inverse function exchange x and y  and then solve for y

y = (x-2)/3

Exchange x and y

x = (y-2)/3

Solve for y

Multiply by 3

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

3x = y-2

Add 2 to each side

3x+2 = y-2+2

3x+2 =y

The inverse function is 3x+2