Diketahui f(x) =3x² + x-4 Dan g(x)= x + 4 nilai (f/g) (-2)=...a.3b.2c.-1d.-9.... Question from @Jenlisarubyjane

August 2022 2 12 Report

Diketahui f(x) =3x² + x-4 Dan g(x)= x + 4 nilai (f/g) (-2)=...
a.3
b.2
c.-1
d.-9

Liziamarcia

Penjelasan dengan langkah-langkah:

(f/g)(-2)

= (3x² + x - 4)/(x + 4)

= (3(-2)² - 2 - 4)/(-2 + 4)

= 6/2

= 3

Opsi A

4 votes Thanks 7

Jenlisarubyjane makasih

BNP999

Jawaban:

Fungsi komposisi

$\tt \: Jika \: ( \frac{f}{g} )(x) \to \: \frac{f(x)}{g(x)} \: \\$

Maka:

Diketahui fungsi f(x) = 3x² + x - 4 dan g(x) = x + 4

Tentukan $\tt (\frac{f}{g} )(-2)$

$\tt \: ( \frac{f}{g} )(x) = \frac{f(x)}{g(x)} \\$

$\tt \: ( \frac{f}{g} )( - 2) = \frac{3 {x}^{2} + x - 4 }{x + 4} \\$

Untuk menentukan $\tt (\frac{f}{g} )(-2)$ , substitusi nilai x = -2.

$\tt( \frac{f}{g} )( - 2) = \frac{3( {2})^{2} + ( - 2) - 4 }{( - 2 + 4)} \\$

$\tt \: ( \frac{f}{g} )( - 2) = \frac{3(4) + ( - 2) - 4}{(4 - 2)} \\$

$\tt \: ( \frac{f}{g} )( - 2) = \frac{12 - 2 - 4}{2} \\$

$\tt \: ( \frac{f}{g} )( - 2) = \frac{10 - 4}{2} \\$

$\tt ( \frac{f}{g} )( - 2) = \frac{6}{2} \\$

$\tt ( \frac{f}{g} )( - 2) = 3 \\$

Jadi, nilai dari $\tt (\frac{f}{g} )(-2) \\$ adalah 3 (A).

8 votes Thanks 8

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