Respuesta :

Catya
g(f(x)) is puting f(x) inside g(x) for x

= (-2x+3)² + 5
= (-2x + 3)(-2x+3) + 5
= 4x² - 6x - 6x + 9 + 5
= 4x² - 12x + 14

c.
Here we are trying to find g(f(x))

Work:

 5 + (-2x+3)²  
 5 + (-2x + 3)(-2x+3) 
 4x² - 6x - 6x + 9 + 5 
 4x² - 12x + 14

Final Answer.

C: 4x^2 - 12x + 14