<h2>
Hello!</h2>
The answer is:
The first option,

<h2>
Why?</h2>
To find the inverse of a function, we need to rewrite the variable "x" with "y" and the variable "y" with "x", and then, isolate "y".
We are given the function:

Write "f(x)" is equal to write "y", so:

Now, finding the inverse, we have:

Hence, we have that the answer is the first option,

Have a nice day!
The first one shouldn't have a remainder
The answers are 507 and 125.75 or 125.7
Answer:
2. ) {25}^{2x} - 1 = {125}^{3x} + 4
=> {25}^{2x} = {125}^{3x} + 4 +1
=> {(5)^(2)}^{2x} = {(5)^(3)}^{3x} + {5}^{1}
=> {5}^{4x} = {5}^{9x} + {5}^{1}
=> 4x = 9x + 1
=> 4x - 9x = 1
=> - 5x = 1
=> x = 1/-5
The simplest form is 7/13.