fungsi f dirumuskan f(x) = ax + b dengan a dan b bilangan bulat. jika f(2) = -11 dan f(-2) = 1, maka nilai f(4) + f(9) adalah
Matematika
anggun29
Pertanyaan
fungsi f dirumuskan f(x) = ax + b dengan a dan b bilangan bulat. jika f(2) = -11 dan f(-2) = 1, maka nilai f(4) + f(9) adalah
2 Jawaban
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1. Jawaban nurfaizatussholihah
f(x) = ax +b
f(2) = a(2) +b = -11
= 2a +b = -11
f(x) = ax +b
f(-2) = a(-2) +b = 1
= -2a +b = 1
2a +b = -11
-2a +b = 1 +
2b = -10
b = -10 / 2
b = -5
2a +b = -11
2a +(-5) = -11
2a = -11 +5
2a = -6
a = -6 / 2
a = -3
f(x) = ax +b
f(4) = -3(4) +(-5)
= -12 +(-5)
= -17
f(x) = ax +b
f(9) = -3(9) +(-5)
= -27 +(-5)
= -32
f(4) +f(9)
-17 +(-32)
-49 -
2. Jawaban briggitavivi
f(2)=a2+b=-11
f(2)=2a+b=-11
f(-2)=a.-2+b=1
f(-2)=-2a+b=1
2a+b=-11
-2a+b=1. -
4a=-12
a=-3
2a+b=-11
2.-3+b=-11
-6+b=-11
b=-5
f(x)=-3x-5
f(4)=-3.4-5
-12-5
-17
f(9)=-3.9-5
-27-5
-32
-17-32=-49