Решебник по алгебре и начала математического анализа 10 класс Колягин Задание 577

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\[1)\ y(x) = 1 - x;\ \ f(y) = y^{\frac{3}{2}};\]

\[z = f\left( y(x) \right) = \sqrt{y^{3}} =\]

\[= \sqrt{(1 - x)^{3}};\]

\[2)\ y(x) = x^{3} + 1;\ \ f(y) = \frac{1}{y};\ \]

\[z = f\left( y(x) \right) = \frac{1}{y} = \frac{1}{x^{3} + 1\ };\]

\[3)\ y(x) = x^{2} - 2x + 7;\ \ \]

\[f(y) = \sqrt{y};\]

\[z = f\left( y(x) \right) = \sqrt{y} =\]

\[= \sqrt{x^{2} - 2x + 7};\]

\[4)\ y(x) = \sqrt{x};\ \ f(y) = (y + 1)^{3};\]

\[z = f\left( y(x) \right) = (y + 1)^{3} =\]

\[= \left( \sqrt{x} + 1 \right)^{3}.\]