Asked Mar 20, 2019

Find the inverse. Check your answer algebraically and graphically.

f(x) = x2 − 2x,    x ≤ 1
f −1(x) = 

Expert Answer

Step 1


The function is f(x) = x2−2 for x less than or equal to 1.

Step 2


obtain the inverse of f(x) = x2−2x as follows.

Substitute f(x) = y.

y = x2−2x

Interchange the variables x and y.

x = y2−2y

Now, solve for y.

Step 3


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


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