Math, asked by ShakeelSajid, 1 month ago

The maximum of the function f(x) = -3x^2-2(k-5)x+ K - 8 is equal to the the minimum of the function g(x) = x^2-2 (k-1)x+ k +7 Find all such functions f and g.​

Answers

Answered by iamvisagan
0

Answer:

Step-by-step explanation:

f(x−1)+f(x+1)=  

3

f(x)

⇒f(x)+f(x+2)=  

3

f(x+1)

Putting, x=x+2,

f(x+1)+f(x+3)=  

3

f(x+2)

f(x−1)+2f(x+2)+f(x+3)=  

3

[  

3

f(x+1)]

f(x−1)+f(x+3)=f(x+1)

Putting, x=x+2, again

f(x+1)+f(x+5)=f(x+3)

f(x−1)+f(x+5)=0

f(x+5)=−f(x−1)

f(x)=−f(x+6)

f(x+12)=f(x)

∑  

r−0

19

f(5+12r)=20f(5)=20×10=200

Hence, sum of digits =2+0+0=2

Similar questions