Question

(g o f)(x) = 4x^2 + 8x - 3
f(x) = 2x + 4

Ditanya : g^ -1 (x) = ........

Answer 1

Gof=4x^2+8x-3, f(x)=2x+4
f-1(x)=1/2(x-4)
gofof-1=g(x)
gofof-1=4(1/2(x-4))^2+8(1/2(x-4))-3
=4(1/4(x^2-8x+16))+4(x-4)-3
=x^2-8x+16+(4x-16)-3
=x^2-4x-3
..
g(x)=(x-2)^2-7
g-1(x)= 2+ akar(x+7)