di ketahui f(x)=x-3 dan g(x)= x pangkat 2 + 2x - 15. tentukan?
Matematika
malis77
Pertanyaan
di ketahui f(x)=x-3 dan g(x)= x pangkat 2 + 2x - 15. tentukan?
1 Jawaban
-
1. Jawaban Ashiela
f(x) = x-3
g(x) = x²+2x-15
a) f(x)+g(x) = x-3 + x²+2x-15 = x²+3x-18
b) f(x)-g(x) = x-3 - (x²+2x-15)
= x-3-x²-2x+15 = -x²-x+12
c) f(x) × g(x)
= (x-3)(x²+2x-15)
= x³+2x²-3x²-15x-6x+45
= x³-x²-21x+44
d) f(x)÷g(x)
= (x-3)÷(x²+2x-15)
= (x-3)÷(x+5)(x-3)
=1/(x+5)
e) (g•f)(x)
= g(f(x))
= (x-3)²+2(x-3)-15
= x²-6x+9+2x-6-15
= x²-4x-6