Step-by-step explanation:
f(x) = y = -1/2 × sqrt(x + 3), x >= -3
-2y = sqrt(x + 3)
4y² = x + 3
x = 4y² - 3
and now we need to rename x to y and y to x to make it a "normal" function :
y = 4x² - 3
since in the original function x >= -3, this gave us y <=0.
and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.
so, again, the full answer is
f^-1(x) = 4x² - 3, x <= 0
Answer:
x² - 2x - 2
By Completing the Square....
x² - 2x + 1² - 2 - 1²
(x - 1)² - 3 .....
Hope it helps.
Starting: 46.75
After 55% discount: 21.04
Total: $21.04
In one revolution of the wheel, a point on the edge travels a distance equal to the circumference of the wheel.
The wheel has radius 1 ft, so its circumference is 2π (1 ft) = 2π ft.
Then the point has a linear speed of
(1/4 rev/s) * (2π ft/rev) = 2π/4 ft/s = π/2 ft/s
Answer:$2175
Step-by-step explanation:
set up an equation
15x+675
15(100) +675= 2175
15 is the additional cost per person
675 is the renting fee for the building
100 is the number of people attending
Hope this helps