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Magazine Problem 231
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\sqrt[3]{\frac{1}{2 x-3}} $$
Problem 232
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\frac{1}{\left(3 x^{2}-4\right)^{-3}} $$
Problem 233
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\sqrt[4]{\frac{3 x-2}{x+5}} $$
Problem 234
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\left(\frac{8+x^{3}}{8-x^{3}}\right)^{4} $$
Problem 235
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\sqrt{2 x+6} $$
Problem 236
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=(5 x-1)^{3} $$
Problem 237
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\sqrt[3]{x-1} $$
Problem 238
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\left|x^{2}+7\right| $$
Problem 239
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\frac{1}{(x-2)^{3}} $$
Problem 240
For the following exercises, find functions \(f(x)\) and \(g(x)\) so the given function can be expressed as \(h(x)=f(g(x))\) $$ h(x)=\left(\frac{1}{2 x-3}\right)^{2} $$
