Answer: x = 83 (x representing the next homework assignment)
Step-by-step explanation:
F(x)=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)
so we have
f(x)=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
subsitute f(x) with y
y=
![\sqrt[3]{x+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7Bx%2B2%7D%20)
switch x and y
x=
![\sqrt[3]{y+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%2B2%7D%20)
solve for y
x=
![\sqrt[3]{y+2}](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7By%2B2%7D%20)
cube both sides

=y+2
subtract 2 from both sides

=y
subsitute y with f⁻¹(x)
f⁻¹(x)=

the answer is f⁻¹(x)=
let g(x) = x^2+2
let f(x) = 9/x
f(g(x)) is therefore equal to f(x^2 + 2) which is equal to 9/(x^2+2).
Answer:
C
Step-by-step explanation:
y=1/x, the reciprocal is the same. Reciprocal would be reflected across y=x
Answer:
4 plants
Step-by-step explanation:
In this problem, we are given the total area of the garden, which is:

The number of plants that can fit inside the garden is given by the equation:

where:
n is the number of plants
a is the area of each plants
In this problem, the area of each plant is

Therefore, we can re-arrange the equation to find the number of plants that can fit:
