Say, for example, that a function f acts on 5, producing f(5). Then if g is the inverse of f, then g acting on f(5) will bring back 5.
g(<span>f(</span>5)) = 5.
Actually, g must do that for all values in the domain of f. And f must do that for all values in the domain of g.
In general, if a function f acts on a value of x, producing f(x),
then if g is the inverse, then g acting on f(x) -- g(f(x)) --will return x.
Here is the definition:
Functions <span>f(x)</span> and <span>g(x)</span> are inverses of one another if:
f(<span>g(x</span>)) = x and g(<span>f(</span>x)) = x,
for all values of x in their respective domains.
Answer:
The right answer is Option B:

Step-by-step explanation:
In this case we have to perform a hypothesis test on the proportion of the people owning cats.
The claim is that the proportion is significantly different than 905, what means it can be greater or smaller than 90% to reject the null hypothesis. Because of that, the null hypothesis has to state an equality (H0:p=0.9).
The right answer is Option B:

Answer:
C
Step-by-step explanation:
Let say for example, the triangle is named ∆ABC, and the two angles given are <A and <B with a given side, c, opposite to the third angle (<C).
Since sum of triangle = 180°, we can find the third angle by saying:
m<C = 180 - (m<A + m<B).
Having found the third angle measure, <C, we can mow apply the Law of Sines to find the length of the other two sides (a and b) that are opposite to <A and <B respectively.
Answer:
The premium is $349 per year
Step-by-step explanation:
We can easily solve this problem by applying a rule of three
$3.49 ---------------------------------------- $1000 coverage
x ---------------------------------------- $100,000 coverage
By using this relation, we can find how much money is needed to pay
x = ($100,000/$1000)*$3.49
x = (100)*$3.49
x = $349
The premium is $349 per year