Evaluate and simplify f(x)=3-6x^2 for f(x+3)

Insert x + 3 instead of x into the equation of the function f(x):

f(x) = 3 - 6x²

f(x + 3) = 3 - 6(x + 3)²

use (a + b)² = a² + 2ab + b²

= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)

use distributive property

= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54

combine like terms

= -6x² - 36x - 51

this was already solved by me with a different person. if you look it up in the search bar at the top of the page, you will get the answer.

step-by-step explanation:

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