Question

Di ketahui f(x) = 2x+1 dan (fog)(x+1)=-2x^2-4x-1,maka nilai dari g(-2)=...??
bantuin ya kk dgn caranya ,.mksh

Answer 1

(f o g)(x + 1) = - 2x² - 4x - 1
f(g(x + 1)) = - 2x² - 4x - 1
2g(x + 1) + 1 = - 2x² - 4x - 1
2g(x + 1) = - 2x² - 4x - 2
g(x + 1) = - x² - 2x - 1
untuk x = - 3 maka:
g(- 3 + 1) = - (-3)² - 2(-3) - 1
g(-2) = - 9 + 6 - 1 = - 4