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2. (5 points) Several statements about a differentiable, invertible function f(x) and its inverse f (x) are written below. Mark each statement as either TRUE
2. (5 points) Several statements about a differentiable, invertible function f(x) and its inverse f (x) are written below. Mark each statement as either "TRUE" or "FALSE" (no work need be included for this question). 1. If f () = 2022 then * = f-'(2022). 2. If f is increasing on its domain, then fis also increasing on its domain. 3. The domain of f- is the range of f. 4. If & is in the domain of f-1 then f ( f-1(x) ) = x. 5. If f is concave up on its domain then f-is concave up on its domain. (Hint: think about the examples f(x) = ex and f-1(x) = Inr.)
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