Answer:
The first one is x axis
the second one is the axis
third one doesn't seem to be a reflection
Answer:
X = 100
Step-by-step explanation:
Answer:
Inverse of f(x)=-x^3-9 is ![f^{-1}(x)=\sqrt[3]{-x-9}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7B-x-9%7D)
Option B is correct option.
Step-by-step explanation:
We need to find inverse of 
For finding the inverse replace f(x) with y

Now, solve for x
Adding 9 on both sides

Multiply both sides by -1

Taking cube root on both sides:
![x^3=-y-9\\\sqrt[3]{x^3} =\sqrt[3]{-y-9} \\x=\sqrt[3]{-y-9}](https://tex.z-dn.net/?f=x%5E3%3D-y-9%5C%5C%5Csqrt%5B3%5D%7Bx%5E3%7D%20%3D%5Csqrt%5B3%5D%7B-y-9%7D%20%5C%5Cx%3D%5Csqrt%5B3%5D%7B-y-9%7D)
Now replace x with f^{-1}(x) and y with x
![f^{-1}(x)=\sqrt[3]{-x-9}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7B-x-9%7D)
So, inverse of f(x)=-x^3-9 is ![f^{-1}(x)=\sqrt[3]{-x-9}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%5Csqrt%5B3%5D%7B-x-9%7D)
Option B is correct option.
Answer:
y ≈ 61
Step-by-step explanation:
Using the Sine rule in the triangle
=
( cross- multiply )
y × sin18° = 21 × sin117° ( divide both sides by sin18° )
y =
≈ 61 ( to the nearest whole number )
Answer:

Step-by-step explanation: