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Jawaban dari "Jika [tex]\large f(x)[/tex] dan [tex]\large g(x)[/tex] memetakan [tex]\large x[/tex] sedemikian hing..."

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Jika anda lagi berusaha melihat cara mengerjakan mengenai soal Jika [tex]\large f(x)[/tex] dan [tex]\large g(x)[/tex] memetakan [tex]\large x[/tex] sedemikian hing..., maka anda telah berada di laman yang tepat.

Kami ada 2 jawaban mengenai Jika [tex]\large f(x)[/tex] dan [tex]\large g(x)[/tex] memetakan [tex]\large x[/tex] sedemikian hing.... OK langsung saja pelajari cara menjawab selengkapnya di bawah ini:

Jika [tex]\large F(x)[/tex] Dan [tex]\large G(x)[/tex] Memetakan [tex]\large X[/tex] Sedemikian Hingga [tex]\large F(x) = 3x + 5[/tex] Dan [tex]\large G(x) = X + 7[/tex] , Maka Tentukan :
[tex]\large 1.~~(f + G)(x) [/tex]
[tex]\large 2.~~(f - G)(x) [/tex]
[tex]\large 3.~~(g \circ F)(x) [/tex] ​

Jawaban: #1:

Jawaban:

1. 4x + 12

2. 2x - 2

3. 3x + 12

Penjelasan dengan langkah-langkah:

Diketahui :

f(x) = 3x + 5

g(x) = x + 7

Ditanya :

1. (f + g)(x) = ...

2. (f - g)(x) = ...

3. ( g o f)(x) = ...

Penyelesaian :

1. (f + g)(x)

= f(x) + g(x)

= 3x + 5 + x + 7

= 3x + x + 5 + 7

= 4x + 12

2. (f - g)(x)

= f(x) - g(x)

= 3x + 5 - (x + 7)

= 3x + 5 - x - 7

= 3x - x + 5 - 7

= 2x - 2

3. (g o f)(x)

= g( f(x) )

= g(3x + 5)

= 3x + 5 + 7

= 3x + 12

Jawaban: #2:

F(x) = 3x + 5.

g(x) = x + 7.

1. (F+g)(x) = F(x) + g(x).

(F+g)(x) = 3x + 5 + x + 7.

(F+g)(x) = 4x + 12.

2. (F-g)(x) = F(x) - g(x).

(F-g)(x) = 3x + 5 - (x + 7).

(F-g)(x) = 3x + 5 - x - 7.

(F-g)(x) = 2x - 2.

3. (gof)(x) = g(f(x)).

(gof)(x) = g(3x+5).

g(3x+5) = (3x+5) + 7.

g(3x+5) = 3x + 12.

(gof)(x) = 3x + 12.

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