Question

Polinom kls 11 (no 6)

Answer 1

Jawaban no 6 terlampir yaa ;)

jawaban lainnya :
3). A. x-2
4). D. 2x+5
5). C. 12x-3

Answer 2

Matematika

Nomor 6

f(x) = ax + b

x² - 1 = (x - 1)(x + 1)

x = 1

g(1) = a + b

3 = a + b

x = -1

g(-1) = -a + b

2 = -a + b

Eliminasi

a + b = 3

-a + b = 2

__________-

2a = 1

a = ½

Substitusi

a + b = 3

b = 3 - ½

b = 5/2

g(x) = ax + b

= (½)x + 5/2

x = 1

h(x) = a + b

1 = a + b

x = -1

h(-1) = -a + b

2 = -a + b

Eliminasi

a + b = 1

-a + b = 2

__________-

2a = -1

a = - ½

Subtitusi

a + b = 1

b = 1 + ½

b = 3/2

h(x) = ax + b

= (-½)x + 3/2

f(x) = g(x) / h(x)

= ( (½)x + 5/2 ) / ( (-½)x + 3/2) (masing² ×2)

= (x + 5) / (-x + 3)

f(x) = ax + b

f(1) = (1 + 5) / (-1 + 3)

= 6 / 2

= 3

f(-1) = (-1 + 5) / (-(-1) + 3)

= 4 / 4

= 1

f(x) = ax + b

f(1) = a + b

3 = a + b

f(-1) = -a + b

1 = -a + b

Eliminasi

a + b = 3

-a + b = 1

__________-

2a = 2

a = 1

subtitusi

a + b = 3

b = 3 - 1

b = 2

f(x) = ax + b

= x + 2

jawaban A