Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function

It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:

Step-by-step explanation:
For
, there are two possible cases:

Solving for both cases, we get:

Answer:
should be -29.29 %
Step-by-step explanation:
The domain of the function f(x) is where the area under the square root (aka the radicand) is positive or zero. We have to write that the radicand is greater than or equal to zero, so

.
C
Answer:
probability
Step-by-step explanation:
P(Sold Out)= 

So since the experimental probability is the number of times an event occurs out of the total number of trials...
The answer to "what is the experimental probability that the band's next show will be sold out?" Is
!!!
Hope this helped you!
Have a nice evening!