57.8k views
3 votes
What’s the inverse of f(x)=1/3x+2

User Shabir Jan
by
4.3k points

2 Answers

5 votes

Answer:

y = 3x - 6

Explanation:

I think you meant f(x)= (1/3)x+2.

1) replace "f(x)" with "y": y = (1/3)x+2

2) interchange x and y: x = (1/3)y + 2

3) solve this result for y. Multiply all three terms by 3: 3x = y + 6. Subtract 6 from both sides, obtaining y = 3x - 6.

4) replace "y" with the symbol for inverse function:

-1

f (x) = 3x - 6

User Naor Bar
by
4.9k points
1 vote

Answer:

3x-6

Explanation:

1. replace x with y

so you get 1/3y+2=x

2. solve whatever you get for y

y=3x-6

User Featherbits
by
5.0k points