Question

Diketahui : f(x)= 2x+1 dan(gof)(x)= 4x²+4x+1 tentukan g-¹(x)

Answer 1

Gof(x) = 4x^2+4x+1
g(f(x))=4x^2+4x+1
g(2x+1)=4x^2+4x+1

ubah g(2x+1) menjadi g(x), hasil yg di dpt sbgai brkt..
g(x) = 4((x-1)/2)^2 + 4((x-1)/2) +1
g(x) = x^2-2x+1+2x-2+1
g(x) = x^2

g^-1(x) = akar (x)