Respuesta :
Answer:
- D. f(x) = (2x - 3)²
Step-by-step explanation:
Given function:
- f(x) = 4x² - 12x + 9
Use identity:
- (a ± b)² = a² ± 2ab + b²
We can see:
- a = 2x and b = 3
Apply:
- f(x) = (2x - 3)²
Correct choice is D
[tex]\\ \tt\hookrightarrow f(x)=4x^2-12x+9[/tex]
- Factorise
[tex]\\ \tt\hookrightarrow f(x)=2x^2-2(2x)(3)+3^2[/tex]
[tex]\\ \tt\hookrightarrow f(x)=(2x-3)^2[/tex]