Inverse Functions Quiz Form
Test your knowledge of inverse functions. Please answer all questions carefully.
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Instructions
1. Which of the following functions has an inverse that is also a function?
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f(x) = x^2
f(x) = 2x + 3
f(x) =
x
1
f(x) = sin(x)
2. What is the inverse of the function f(x) = 3x - 4?
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3. If f(x) = x^3, what is f^{-1}(x)?
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4. Which statement is true about the graphs of a function and its inverse?
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They are symmetric about the y-axis.
They are symmetric about the line y = x.
They are symmetric about the x-axis.
They have no symmetry.
5. Find the inverse of f(x) = (x + 1)/(x - 2).
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6. Which of the following is NOT a property of inverse functions?
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f(f^{-1}(x)) = x
f^{-1}(f(x)) = x
The domain of f is the range of f^{-1}
The graph of f is always above its inverse
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