One to one means only one x value gives one y value
This only happens when x is greater than or equal to -1 [-1, infinity) or when x is less than or equal to -1 (-infinity, -1].
Non decreasing means the slope is zero or positive, so it has to be the first option for the domain [-1, infinity]
The inverse of f(x) = (x + 1)^2
y = (x + 1)^2
x = (y + 1)^2
Sq rt x = y + 1
(sq rt x) - 1 = y
f^-1(x) = (sq rt x) - 1
We cannot take the square root of -1, so the domain of the inverse of f is [0, infinity]
Answer:
<h2>The Possible range for x is : ]8 , 18[</h2>
Step-by-step explanation:
To can draw this triangle if:
4x - (2x - 6) < 42 < 4x + (2x - 6)
solve inequality 1 :
4x - (2x - 6) < 42 ⇔ 2x + 6 < 42 ⇔ 2x < 36 ⇔ x < 18 (1)
Solve inequality 2 :
42 < 4x + (2x - 6) ⇔ 42 < 6x - 6 ⇔ 48 < 6x ⇔ 8 < x (2)
from (1) and (2) we deduce that : 8 < x < 18
Answer:
C = 4pi or approximately 12.56
Step-by-step explanation:
The circumference of a circle is given by
C = 2*pi*r
C = 2*2*pi
C = 4pi
If we approximate pi by 3.14
C = 12.56
If you draw out the polygon with the vertices given, you'll see a trapezoid with one base of 6 units long, one base of 4 units long and a height of 4 units.
Using the formula for area of a trapezoid : h(b1 + b2)/2
h is the height, b is the base
After inputting your numbers into the formula you get, 4(4+6)/2
Which comes out to be 4(10)/2 or 40/2
Which will get you the answer, 20.
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