The answer would be the Third Option, "Never".
Compare your f(x)=1/2tan (2x+5) to
g(x)=a*tan (bx + c).
Note how b = 2.
The period of the given tangent function is pi/b, which here is pi/2, or 90 degrees. Multiplying x by 2 horizontallyl compresses the graph of tan x by a factor of 1/2.
The second one, and you as well ☺️
Answer:
(-2, -4)
Step-by-step explanation: because its going backwards it should be a negative slope :)
I'm sorry if I'm wrong but i hope this helps :)
Option D:

Solution:
Given function:

To find the inverse of the function.
<u>Inverse of a function:</u>
<em>If a function f(x) is mapping x to y, then the inverse function of f(x) maps y back to x.</em>

Interchange the variables x and y.

Now, solve for y.
Multiply both sides by (y - 5).

Cancel the common factors, we get

Divide by x on both sides.

Add 5 on both sides.


To make the denominator same, multiply the 2nd term by
.



Option D is the correct answer.