Can you show a better photo some of the question is cut off
Answer:
Step-by-step explanation:
For the limit of a function to exist, then the right hand limit of the function must be equal to its left hand limit as shown;
If the function is f(x), for f(x) to exist then;

Given the function;

Lets check if the above statement is true.
The right hand limit of the function occurs at x> 9
f(x) = 9-x

The left hand limit occurs at x<9
f(x) = x+9

From the above calculation, it can be seen that
, this shows that the function given does not exist at the given point.
The answers in C are inverses of each other.
In order to find the inverse of any equation, you simply switch the x and f(x) values and then solve for the new f(x). What it will result in is your new inverse function. If we do this for each of the problems above, only one will produce the second equation properly. See the work below for how to do it for C.
f(x) = 11x - 4 ---> Switch the x and f(x)
x = 11f(x) - 4 ----> Add 4 to both sides
x + 4 = 11f(x) ----> Divide both side by 11
= f(x) ----> Now put in the correct order
f(x) =
Since our inverse matches the g(x) function, this means that C is the correct answer.
Here's how to rewrite cos^4x tan^2x in the first power of cosine.
See the attached image.
First step, find the trigonometric identity of tan^2x.
Then simply everything until you only get cos x.
Remove all the exponents. Simplify.