Answer:
(-∞, -4] ∪ [5, ∞)
Step-by-step explanation:
Hi!
Alright, so greater (or less) than or equal to is denoted with a bracket.
If x is less than or equal to -4, then the bracket is on the left side.
(___, -4]
Because x is <em>any</em> number under or equal to -4, x can range from negative infinity. However, we use a parentheses for infinity because infinity can never truly be reached.
So, x 
-4 = (-∞, -4]
X
5
Equal to = bracket
X is any number above 5, so
[5, ∞)
Because we want both of these, we use the union sign (∪)
so,
= (-∞, -4] ∪ [5, ∞)
the answer to the question
<span>1.)what is the factored form of 72x-9
= 9(8x -1)
2.) expand: -3(-4y-9x)
= 12y + 27x
3.)simplify: 6(-5y+3)-25
= -30y + 18 -25
= -30y - 7
4.) write an equivalent expression for 15m-3
= 3(5m-1)
5.) simplify: 3/4 (16g-28h)-10h
= 12g - 21h - 10h
= 12g - 31h</span>
Answer:
The function given is:
P(x) = 15x² + 350x - 2000
or
y = 15x² + 350x - 2000
Interchange x and y:
x = 15y² + 350y - 2000
x = (y√15)² + 2(y√15)(45.19) + (45.19)² - (45.19)² - 2000
x = ( y√15 + 45.19)² - 4042.14
( y√15 + 45.19)² = x + 4042.14
Take square root:
y√15 + 45.19 = (√(x + 4042.14))
y√15 = (√(x + 4042.14)) - 45.19
The minimum value of x, for which function is defined and real, is x= -4042.14
Hence, the range of inverse is x ≥ -4042.14
