Answer:
2(x - 3)(x - 9)
Step-by-step explanation:
Given
f(x) = 2x² - 24x + 54 ← factor out 2 from each term
= 2(x² - 12x + 27) ← factor the quadratic
Consider the factors of the constant term (+ 27) which sum to give the coefficient of the x- term (- 12)
The factors are - 3 and - 9 , since
- 3 × - 9 = + 27 and - 3 - 9 = - 12 , thus
x² - 12x + 27 = (x - 3)(x - 9) and
f(x) = 2(x - 3)(x - 9) ← in factored form
To be a function, the DOMAIN, the X-COORDINATE, and the INPUT VALUES cannot repeat.
For example, the coordinates (3,6) and (5,6) are good, but if you were to have the coordinates (3,7) and (3,9), that would not be a function.
The symbol would be an = sign.
1) You must do division first. So divide 5/12 and get .41666666...
2) Then you add 15+5 and get 20.
3) Finally you subtract 20 and .41666666... and you get 19.5833333...
4) you can simplify 19.583333... to 19.584 if you need to.