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Social ScienceFind the inverse. Check your answer algebraically and graphically.f(x) = x2 − 2x, x ≤ 1 f −1(x) =
Find the inverse. Check your answer algebraically and graphically.
Expert Answer
Given:
The function is f(x) = x2−2x for x less than or equal to 1.
Calculation:
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.
Verification:
Algebrically verify that f −1 f (x) = x as shown below.
...
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Algebra
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