What is the inverse of f(x) =1/3 x + 2?
1 answer:
Answer:
Step-by-step explanation:
To begin, we will replace f(x) with y, since they mean the same thing, except y does not represent function notation. We will put it back when we're done.
The rules for finding an inverse function algebraically is to switch the x and the y, then solve for the new y. Our function then becomes, with the variables switched:
Begin to isolate the new y by subtracting 2 from both sides:
Now multiply both sides by 3:
3(x - 2) = y and
3x - 6 = y
That's the inverse, so now we will put it back into function notation:
You might be interested in
Using the perimeter of a rectangle, it is found that she can make a deck of 122 ft wide.
<h3>What is the perimeter of a rectangle?</h3>The perimeter of a rectangle of length l and width w is given by:
In this problem:
- She has enough wood to build a deck that is 280ft, hence P = 280.
- The length is of 10 feet, hence l = 10.
- Considering that the deck's width will be added to the actual width of 8 feet, we have that w = 8 + w.
Then:
She can make a deck of 122 ft wide.
You can learn more about the perimeter of a rectangle at brainly.com/question/10489198