Question

Diketahui g(x) adalah fungsi linear. Jika g(1) = 2000, g(x+1) + 12 = g(x). Maka nilai g(100) adalah​

Answer 1

Jawaban:

fungsi linier = ax +b

g(1) = a(1) + b

a + b = 2.000

g(x+1) + 12 =g(x)

a(x+1)+ b + 12 =ax + b

ax + a + b +12 =ax +b

a+ 12 = ax - ax +b - b

a+12 = 0

a = -12

a+b = 2000

-12 + b = 2000

b = 2012

g(x) = ax + b

g(x) = -12x+ 2012

g(100) = -12(100) +2012 = -1200 + 2012

= 812

Answer 2

Jawaban:

812

Penjelasan dengan langkah-langkah:

LINEAR

g(x)=ax+b

g(1)=a(1)+b

2000 =a+b

g(x+1)+12=g(x)

a(x+1)+b+12=ax+b

ax+a+b+12=ax+b

a=ax+b-ax-b-12

a=-12

subtitusikan

a+b=2000

-12+b=2000

b=2000+12

b=2012

g(100)=a(100)+b

=-12(100)+2012

=-1200+2012

=812