Page Fowler
12/13/2023 · High School
Given the function \( f(x)=3 x^{2}+5, x \geq 0 \), determine if \( f(x) \) is one-to-one. If it is, find a formula for the inverse. Is \( f(x) \) one-to-one? No \( f^{-1}(x)=\square \) Yes Type an exact answer, using radicals as needed.)
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\( f(x) \) is one-to-one, and the inverse function is \( f^{-1}(x) = \sqrt{\frac{x - 5}{3}} \).
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