Question

Find an equation for the inverse of the relation y=6x-3. Show how you found the inverse equation.

Answer 1

Hi there! The answer is y = 1/6x + 1/2

To find the inverse function x and y need to switch places.

$y = 6x - 3 \\ x = 6y - 3$

Now rewrite the equation, until it will be in standard form (slope-intercept form) again.
$x = 6y - 3$

Add 3.
$x + 3 = 6y$

Switch sides.
$6y = x + 3$

Divide both sides by 6.
$y = \frac{1}{6} x+ \frac{3}{6} \\ y = \frac{1}{6} x + \frac{1}{2}$

Hence, the answer is y = 1/6x + 1/2.
~ Hope this helps you!