Find the inverse function in slope-intercept form (mx=b):
f(x)=-4/3x-16
To find the inverse function, we need to interchange the x and y variables and solve for y.
So let's start by writing the original function as:
y = -4/3x - 16
Now, let's interchange x and y:
x = -4/3y - 16
Next, let's solve for y. Let's first add 16 to both sides:
x + 16 = -4/3y
Then, let's multiply both sides by -3/4 to isolate y:
(-3/4)(x + 16) = y
Expanding and simplifying:
(-3/4)x - (3/4)(16) = y
(-3/4)x - 12 = y
Therefore, the inverse function in slope-intercept form is:
f^(-1)(x) = -3/4x - 12