Make f(x) = y
y = (15x + 50)/(x + 5)
Swap the x and y and make y the subject again
x = (15y + 50)/(y + 5)
x(y + 5) = 15y + 50
xy + 5x = 15y + 50
xy - 15y = 50 - 5x
y(x - 15) = 50 - 5x
y = (50 - 5x)/(x - 15)
So inverse function f^-1(x) = (50 - 5x)/(x - 15)
The equation is written in the slope-intercept form:

Where:
m = Slope
b = y-intercept
From the equation we can conclude that the y-intercept is:

We can find the x-intercept as follows:

The x-intercept is:
(3,0)
The graph is:
Answer:
(-2,4)
Step-by-step explanation:



This implies
.
This means
and
.
Subtract 3 on both sides for first equation:
.
Add 3 on both sides for the second equation:
.
So the pre-image (x,y) is (-2,4) if the image is (1,1).
Let's check:



So the solution has been checked and verified.
Answer:
-3
Step-by-step explanation: