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

− 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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f(2)=18

Step-by-step explanation:

You just have to exchange the x for the 2.

Hope it helps.