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What is the inverse of f(x)=3/5(x-4)?

User Ian Dunn
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1 Answer

5 votes

Answer:

y = 5/3 x + 4

Explanation:

To find the inverse, interchange the x and y variables and solve for y. (that might sound a bit confusing, but don't worry! :)

Our current function is f(x) = 3/5 (x-4). Let's make f(x) = y, so the function is y = 3/5 (x - 4).

Now, switch the x and y variables. x = 3/5 (y - 4).

Now, just solve for y!

x = 3/5 y - 12/5

5x = 3y - 12

5x + 12 = 3y

3y = 5x + 12

y = 5/3 x + 4

hope this helps! <3

User Imansdn
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