If f(x)=2(x) ² +5 √(x+2), complete the following statement:
f(2) =_____

Answer:
answer: − 3(x−2) 2
SOLUTION:
⇒f(x)+2f(1−x)=x
2
+2⋯⋯(i)
Put x=1−x
⇒f(1−x)+2f(x)=(1−x)
2
+2
Multiply by 2
⇒2f(1−x)+4f(x)=2(1−x)
2
+4⋯⋯(ii)
Subtract (ii) from (i)
−3f(x)=x
2
−2−2(1−x)
2
−3f(x)=x
2
−2−2x
2
+4x
−3f(x)=−(x
2
−4x+4)
f(x)=−
3
(x−2)
2
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Answer:
f(2)=18
Step-by-step explanation:
You just have to exchange the x for the 2.
Hope it helps.