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

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10-05-2018
Mathematics

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

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MarkV MarkV · Answer 1 · 2018-05-10T19:18:04+02:00

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

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

[tex]y = 6x - 3 \\ x = 6y - 3[/tex]

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

Add 3.
[tex]x + 3 = 6y[/tex]

Switch sides.
[tex]6y = x + 3[/tex]

Divide both sides by 6.
[tex]y = \frac{1}{6} x+ \frac{3}{6} \\ y = \frac{1}{6} x + \frac{1}{2} [/tex]

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