The graph of f(x)=x^2 is shown. Graph g(x) = (1/3x)^2 by plotting first the vertex then another point.
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The coordinates of the inverse function f⁻¹(x) will be swapped of the coordinates of the function f(x).
The complete question is attached below.
<h3>What is inverse of a function?</h3>Let the function will be
f: X → Y
Then the inverse function will be
f⁻¹: Y → X
If the coordinates of the function f(x) are given.
Then the coordinates of the inverse function f⁻¹(x) will be swapped of the coordinates of the function f(x).
f(x) f⁻¹(x)
(33, 40) (40, 33)
(-19, -15) (-15, -19)
(-28, 47) (47, -28)
(-15, -34) (-34, -15)
(50, 0) (0, 50)
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