Find inverse function of y= (1/x) +1
1 answer:
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Answer:
Step-by-step explanation:
If this is an exponential function, it is of the form
where x and y are coordinates from your table, a is the intial value, and b is the growth/decay rate. To find out what the equation is that represents this data, choose 2 points and solve first for a and then for b. Just a hint: If at all possible, choose the coordinate that gives you an x of 0. You'll see why in a minute.
I chose the first 2 points from your table: (0, .2) and (1, .8). Solving first for a:
The reason to choose the x of 0 as one of your points is because anything raised to the power of 0 is 1. So our equation then becomes:
so
a = .2 Easy enough.
Now use that value along with the other coordinate to solve for b:
b to the first is just b, so,
.8 = .2b
Divide both sides by .2 and you'll get that
b = 4
The equation, then, is
which is growth, since the value for b is greater than 1.
Answer:
See below
Step-by-step explanation:
π, pronounced as <em>pi</em> is the ratio between 2πr which is circumference to 2r which is diameter.
In word, π is circumference/diameter which has exact value of 3.14159... and it is also an irrational number too.
π is often used to be defined as 3, 3.14 or 22/7 [Keep in mind, these numbers are only approximation.] in some fields. In trigonometry, π is mostly used to refer as <u>π radians</u> or <u>π rad</u> which is equivalent to 180°.
Why do we need it? Because it’s useful in a field that requires rotation. If you notice, figure with circular base will always have π with it, the volume is an example.
In calculus, you need π to do solid of revolution method which is:
In trigonometry, you need it for measurement/angle.
So anything that’s related to revolution, rotation or related to circle must require π at least.
In general life, you do not use it but this is mostly applied in engineering field and anything related to science that involves with circle or revolve.
Let me know if you have any questions!