The inverse function in slope-intercept form is f(x) = 3/5x - 3
How to find the inverse function in slope-intercept form
From the question, we have the following parameters that can be used in our computation:
f(x) = 5/3x + 5
Rewrite as
y = 5/3x + 5
Swap x and y
x = 5/3y + 5
Solve for y
5/3y = x - 5
Divide both sides by 5/3
y = 3/5x - 5 * 3/5
Evaluate
y = 3/5x - 3
Replace y with f(x)
f(x) = 3/5x - 3
Hence, the inverse function in slope-intercept form is f(x) = 3/5x - 3
Question
Find the inverse function in slope-intercept form (mx+b):
f(x)=5/3x+5