What is the inverse of f(x) =1/3 x + 2?

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:

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true