The function \( f(x)=x^{3}+4 \) is one-to-one. (a) Find the inverse of \( f \) and check the answer. (b) Find the domain and the range of \( f \) and \( f^{-1} \). (c) Graph \( f, f^{-1} \), and \( y=x \) on the same coordinate axes. (a) \( f^{-1}(x)= \) \( \square \) (Simplify your answer. Use integers or fractions for any numbers in the expression.)
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To find the inverse, start by replacing \( f(x) \) with \( y \): \[ y = x^3 + 4 \] Show more…
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