The distance between the two points is 5.4
Explanation:
The points are (-1,-9) and (1,-4)
The distance between the two points can be determined using the formula

Substituting the values in the formula, we get,

Adding the values,

Squaring the terms, we get,

Simplifying, we have,

Thus, the distance between the two points is 5.4
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