F(x) = 2x² + 2(fof)(1) = ?

F(x) = 2x² + 2(fof)(1) = ?

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(fof)(1)

= 2(2(1)²+2)² +2

= 2(2.1+2)² + 2

= 2(2+2)² + 2

= 2(4)² + 2

= 2.16 + 2

= 32 + 2

= 34

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Fungsi komposisi: memasukkan fungsi yang satu ke suatu fungsi yang lain.

Diketahui $f(x) = 2x^2 + 2$

Maka $(f~ o ~ f)(1)$ :

$(f~ o ~ f)(x) = f(f(x))$

$(f~ o ~ f)(x) = 2f^2 (x) + 2$

$(f~ o ~ f)(x) = 2(2x^2 + 2)^2 + 2$

$(f~ o ~ f)(x) = 2(4x^4 + 8x^2 + 4) + 2$

$(f~ o~ f)(x) = 8x^4 + 16x^2 + 8 + 2$

$large red{sf{(f~ o ~ f)(x) = 8x^4 + 16x^2 + 10}}$

$large red{sf{(f~ o~ f)(1) = 8(1)^4 + 16(1)^2 + 10}}$

$large red{sf{(f~ o~ f)(1) = 8 + 16 + 10}}$

$large red{sf{(f~ o ~ f)(1) = 34}}$