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TRY IT Finding the Inverse of a Function Algebraically

Select the equation that is the inverse of the given function.
x-3
5
Of(x) = 5x + 15
O 1¹(x) = 5x + 3
Of(x) = 3x - 5
DONE

User Erik Mork
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1 Answer

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Final answer:

To find the inverse of the given function, switch the roles of x and y and solve for y.


Step-by-step explanation:

The given function is Of(x) = 5x + 15. To find the inverse of this function, we need to switch the roles of x and y and solve for y. So, we start by replacing Of(x) with y: y = 5x + 15. Now, let's solve for x:

x = (y - 15)/5.

This equation represents the inverse of the given function. So, the correct equation is:

O-1(x) = (x - 15)/5.


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User Ashwin Yaprala
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