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The inverse function of a problem in slope intercept form

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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

User Vamsi Bitra
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