Asked by KK
If the minimum value of f(x)=x^2+18x+a is the same as the minimum value of f(f(x)), what is the max value of a?
Answers
Answered by
Steve
df/dx = 2x+18
dg/dx = (2f+18)(2x+18)
df/dx=0 when x = -9
dg/dx=0 when f = -9 or x = -9
f = -9 means
x^2+18x+a = -9
x = -9±√(72-a)
So, a <= 72
dg/dx = (2f+18)(2x+18)
df/dx=0 when x = -9
dg/dx=0 when f = -9 or x = -9
f = -9 means
x^2+18x+a = -9
x = -9±√(72-a)
So, a <= 72
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.