Question

Asked Mar 20, 2019

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Find the inverse. Check your answer algebraically and graphically.

f^{ −1}(x) =

Step 1

*Given:*

The function is f(x) = *x*^{2}−2*x * for x less than or equal to 1.

Step 2

*Calculation:*

obtain the inverse of f(x) = *x*^{2}−2*x *as follows.

Substitute f(x) = y.

y = *x*^{2}−2*x*

Interchange the variables *x* and *y*.

x = y^{2}−2y

Now, solve for y.

Step 3

*Verification:*

Algebrically verify that *f −1 f* (*x*) = *x *as shown below.

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