Diketahui : [tex]\bf{\left(f \circ g\right)\left(x\right)=3x-2}[/tex] [tex]\bf{f\left(x\right)=2x+1}.... Question from @CutieDumbo

July 2022 2 18 Report

Diketahui :
[tex]\bf{\left(f \circ g\right)\left(x\right)=3x-2}[/tex]
[tex]\bf{f\left(x\right)=2x+1}[/tex]
Maka
[tex]\bf{g\left(x\right)=?}[/tex]

JavierSKho13

Penjelasan dengan langkah-langkah:

FUNGSI KOMPOSISI

f(x) = 2x + 1

(f o g)(x) = 3x – 2

2(g(x) + 1 = 3x – 2

2(g(x)) = 3x – 2 – 1

g(x) = 3x – 3

0 votes Thanks 1

TheManOfMath

Penjelasan dengan langkah-langkah:

$f(x) = 2x + 1 \\ (fog)(x) = 3x - 2 \\ 2(g(x)) = 3x - 2 \\ 2(g(x)) = 3x - 2 - 1 \\ 9(x) = \frac{3x - 1}{2} \\ g(x) = 1 \: \frac{1}{2}(x - 1)$

Jadi, g(x) adalah 1½(x - 1)

1 votes Thanks 5

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