The inverse of the function is f(x) = 
+ 8
In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.
f(x) = ![\sqrt[3]{x - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%20-%208%7D%20%20)
----> Switch f(x) and x
x = ![\sqrt[3]{f(x) - 8}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bf%28x%29%20-%208%7D%20%20)
----> Cube both sides
= f(x) - 8 ----> Add 8 to both sides
f(x) = + 8
Peanut butter: 8.3 ounces
Sandwich: 5
Divide 8.3 by 5, for equal amount of peanut butter on each sandwich.
8.3/5 = 1.66
She puts 1.66 ounces of peanut butter on each sandwich.
Answer: 258 yards
Step-by-step explanation:
Since Chad wants each balloon string to be 6 feet long, and Chad wants to get 43 balloons, the number of yards of string that he will need will be calculated by multiplying 43 by 6. This will be:
= 43 × 6
= 258 yards of string
We can use point slope form to solve for this.
y - 1 = -2(x - 2)
Simplify.
y - 1 = -2x + 4
Add 1 to both sides.
y = -2x + 5
Now, we can input -3 for x and solve for y, or r in this case.
y = -2(-3) + 5
y = 6 + 5
y = 11
r = 11
