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6 votes
Find the inverse function in slope-intercept form (mx+b):

f(x) = - 3x + 9

13 points

User Mohnish
by
8.9k points

2 Answers

10 votes

Answer:

y=(-x/3)+3

Explanation:

y=-3x+9

x=-3y+9

x-9=-3y, next division

(x-9)/-3=y

simply and rearrange

y=(-x/3)+3

User Jeremy Jackson
by
8.3k points
6 votes

Answer:

y= 3- x/3

Explanation:

To find the inverse function, swap x and y, and solve the resulting equation for x.

If the initial function is not one-to-one, then there will be more than one inverse.

So, swap the variables: y=9−3x so it becomes x=9−3y.

Now, solve the equation x=9−3y for y. You would just need to leave y alone so you divide by 3 on both sides (NOT negative 3. Just 3.)

User DrHall
by
8.6k points

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