Hello!
Let's solve this question with the information given to us in the question.
We were given the function, f(x) = -5x - 4, or also known as y = -5x - 4
With the function we need to find the inverse of it.
We can simply flip the "x" and "y" variables in the function and solve.
Solve:
y = -5x - 4
Flip the "x" and "y" variables.
x = -5y - 4
Now, solve for "y".
x = -5y - 4
Add 4 to both sides of the equation.
x + 4 = -5y
Divide everything by -5 to get "y" by itself.
-1/5x - 4/5 = y
Therefore, the inverse of the function would be [tex]-\frac{1}{5}x -\frac{4}{5}[/tex]
Answer:
Your answer would be A). [tex]-\frac{1}{5}x -\frac{4}{5}[/tex]
