What is the math problem answer?
1 answer:
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Answer: f⁻¹(x)=(x-7)²
Step-by-step explanation:
To find the inverse function, we want to switch the y with the x and vice versa. Then we solve for y.
[switch y with x and x with y]
[subtract both sides by 7]
[square both sides]
Now, we know that f⁻¹(x)=(x-7)².
Answer:
- local minimum at x = -3-2√14
- local maximum at x = -3+2√14
Step-by-step explanation:
The first derivative simplifies to ...
d/dx( ) = -(x^2 +6x -47)/(x^2 -9x +20)^2
This has zeros that can be found by the usual methods of solving quadratics:
x = -3 ±2√14
The positive value of x corresponds to what I might call an "apex." (See the first attachment.) The negative value is where the function turns around an approaches the horizontal asymptote from below. (See the second attachment.)
