To find the inverse of a function, replace every x in the equation with a y, and replace every y in the equation with an x:

Add 9 to both sides:

Square root both sides to get y by itself:

This equation can be simplified by taking the square root of 9 out of the root:


The inverse of this function is
y = 3 + √x.
Answer:
1) He earns $288 a week
2) 270.20
3) 226.97
4) 215. 62
6) 967.68
Step-by-step explanation:
Answer:
a) 1/27
b) 16
c) 1/8
Step-by-step explanation:
a) 
One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

And now, solving for x = 9 we have:

b) 
This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

c) 
Using the same property we used in a) we have:

And now, solving for z = 16 we have:

If x is the amount that Tanya paid for each item, then Tony's items would be x-2.25. So:
3x=4(x-2.25)
3x=4x-9
x=9
x-2.25=6.75
Tanya spent $9 on each item; Tony spent $6.75 on each of his items
Answer:
art class / all classes = 16 / (26 + 19 + 21 + 16 + 32) = 16/114 = 8/57Step-by-step explanation: