Jika f(x)= 2x-3 dan g(x)=x²+4x-7 tentukana. (f o g) (x)b. (g o f) (x)c. (g o f) (1)

Jika f(x)= 2x-3 dan g(x)=x²+4x-7 tentukana. (f o g) (x)b. (g o f) (x)c. (g o f) (1)

Penjelasan dengan langkah-langkah:

Diketahui : f(x) = 2x – 3

g(x) = x² + 4x – 7

Ditanya : a.(fog)(x)

b.(gof)(x)

c.(gof)(1)

Jawab : a.(fog)(x) = f(g(x))

= 2(x² + 4x – 7) – 3

= 2x² + 8x – 14 – 3

= 2x² + 8x – 17

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

= (2x – 3)² + 4(2x – 3) – 7

= (4x² – 12x + 9) + 8x – 12 – 7

= 4x² – 12x + 9 + 8x – 12 – 7

= 4x² – 12x + 8x + 9 – 12 – 7

= 4x² – 4x – 10

c.(gof)(1) = 4x² – 4x – 10

= 4(1)² – 4(1) – 10

= 4.1 – 4 – 10

= 4 – 4 – 10

= -10

Dik : $f(x)=2x-3$

$g(x)=x^{2} +4x-7$

Dit : a.) (f o g) (x) =…….?

b.) (g o f) (x) =…….?

c.) (g o f) (1) =…….?

Jb : a.) (f o g) (x) = f(g(x))

$=2(x^{2} +4x-7)-3$

$=2x^{2} +8x-14-3$

$=2x^{2} +8x-17$

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

$=(2x-3)^2+4(2x-3)-7$

$=4x^{2} -12x+9+8x-12-7$

$=4x^{2} -4x-10$

c.) (g o f) (1) = $4(1)^{2}-4(1)-10$

$=4-4-10$

$=-10$

Semoga Membantu 🙂