Answer: The function does not have an inverse.
Step-by-step explanation:
Unless the domain is restricted, the function doesn't have an inverse because it is not one-to-one.
Answer:
Step-by-step explanation:
Let ![m=x^2-5](https://tex.z-dn.net/?f=m%3Dx%5E2-5)
We want to express the equation
in terms of m.
Given: ![(x^2-5)^2-3x^2+15=-2](https://tex.z-dn.net/?f=%28x%5E2-5%29%5E2-3x%5E2%2B15%3D-2)
Factorizing the third and fourth term, we obtain:
![(x^2-5)^2-3(x^2-5)=-2](https://tex.z-dn.net/?f=%28x%5E2-5%29%5E2-3%28x%5E2-5%29%3D-2)
Substituting
, the above equation becomes:
![m^2-3m=-2](https://tex.z-dn.net/?f=m%5E2-3m%3D-2)
Since the options are not given, the equivalent equation is:
![m^2-3m=-2](https://tex.z-dn.net/?f=m%5E2-3m%3D-2)
It could also be written in a rearranged form as:
![m^2-3m+2=0](https://tex.z-dn.net/?f=m%5E2-3m%2B2%3D0)
I believe you're right with what you have
the price decrease being 5% (the .95) and the increase by 15% (the 1.15)