diketahui (gof) (x)=4x²-12x+1 dan fungsi f(x)=2x-3.tentukan fungsi g(x) yang memenuhi

(Gof)(x)= (g(f(x))
=g(2x-3)
=4(2x-3)^2-12(2x-3)+1
=4(4x^2-12x+9)-24x+36+1
=16x^2-48x+36-24x+37
=16x^2-72x+73

Mohon maaf kalo salah

langsung aja y

misal :
2x - 3 = a
x = a+3 / 2

maka
(gof)(x) = g{f(x)}

4x² - 12x + 1 = g(2x-3)

4(a+3 / 2)² - 12(a+3 / 2) + 1 = g(a)

4(a²+6a+9 / 4) - 6(a+3) + 1 = g(a)

a² + 6a + 9 - 6a - 18 + 1 = g(a)

a² - 8= g(a)

g(x) = x² - 8 ← jawaban

semoga berguna +_+