Jika f(x)=2x-√2 dang(x)= x^2-2 maka {g.f)(-√2)
Matematika
candratumanggor
Pertanyaan
Jika f(x)=2x-√2 dang(x)= x^2-2 maka {g.f)(-√2)
1 Jawaban
-
1. Jawaban BeetSha
f(x) = 2x - √2
g(x) = x² - 2
(gof)(-√2)=?
(gof)(x) = g(f(x))
=(2x - √2)² - 2
= 4x² - 4x√2 + 2 - 2
= 4x² - 4x√2
(gof)(-√2) = 4(-√2)² - 4(-√2)(√2)
= 4 × 2 - 4 × (-2)
= 8 - (-8)
= 8 + 8
= 16