Bntu jawab ya kakak

Bntu jawab ya kakak

Penjelasan dengan langkah-langkah:

$(f circ g)(x) = (2x + 4)(x - 3)$

$(f circ g)(x) = 2 {x}^{2} - 2x - 12$

$g(x) = 2x + 1$

$:$

Misal.

$g(x) = 2x + 1$

$y = 2x + 1$

$2a + 1 = x$

$2a = x - 1$

$a = frac{x - 1}{2}$

$:$

Maka.

$f(x) = 2 {x}^{2} - 2x - 12$

$f(x) = 2. {( frac{x - 1}{2} )}^{2} - 2.( frac{x - 1}{2} ) - 12$

$f(x) = 2. frac{ {(x - 1)}^{2} }{4} - (x - 1) - 12$

$f(x) = frac{ {x}^{2} + 2x + 1 }{2} - x + 1 - 12$

$f(x) = frac{ {x}^{2} + 2x + 1}{2} - x - 11$

$f(x) = frac{ {x}^{2} + 2x + 1 + 2.( - x - 11) }{2}$

$f(x) = frac{ {x}^{2} + 2x + 1 - 2x - 22}{2}$

$f(x) = frac{ {x}^{2} - 21}{2}$