Composition of Square Root and Power Functions
Finding the composition of two functions with a square root and a fractional exponent
Composition of Cube Root and Power Functions
Author: Doan Nguyen
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Reveal Answer" to reveal the answer to the problem.
Problem: Find the composition of \(f\) with \(g\), given \(f(x) = \sqrt[3]{x}\) and \(g(x) =(x^2+4x+1)^{\frac{3}{2}}.\)
\( f(g(x))= (x^2+4x+1)^{\frac{1}{2}}=\sqrt{x^2+4x+1}\)
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