QuestionQuantio Gritim
Homework: HW Units 9.2 \& 9.3 Question 3, 9.2.5 20 porits 0 Pointsof Seve
Question list Find an equation of the inverse relation for the following resiation $y=6 x-5$
Question 1
Question 2 The equation of the inverse relation is $\square$ . Question 3 Question 4 Question 5 Question 6
Question 7

Studdy Solution

STEP 1

1. The given function is $y = 6x - 5$ , which is a linear function.
2. To find the inverse relation, we need to solve for $x$ in terms of $y$ and then interchange $x$ and $y$ .

STEP 2

1. Solve for $x$ in terms of $y$ .
2. Interchange $x$ and $y$ to find the inverse relation.
3. Write the equation of the inverse relation.

STEP 3

Start with the given equation and solve for $x$ :
$y = 6x - 5$
Add 5 to both sides to isolate the term with $x$ :
$y + 5 = 6x$
Divide both sides by 6 to solve for $x$ :
$x = \frac{y + 5}{6}$

STEP 4

To find the inverse relation, interchange $x$ and $y$ :
$y = \frac{x + 5}{6}$

STEP 5

The equation of the inverse relation is:
$y = \frac{x + 5}{6}$
The equation of the inverse relation is:
$\boxed{y = \frac{x + 5}{6}}$

Was this helpful?

Get Studdy

Scan QR code with your device to get Studdy on iOS or Android

QR code

Studdy solves anything!

Download the app

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Parents Influencer program Contact Policy Terms