91Ó°ÊÓ

For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. \(q(x)=\left(\frac{1}{4} x\right)^{3}+1\)

For the following exercises, use the functions \(f(x)=2 x^{2}+1\) and \(g(x)=3 x+5\) to evaluate or find the composite function as indicated. \(f(g(2))\)

For the following exercises, graph \(y=x^{2}\) on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. [-10,10]

For the following exercises, use the functions \(f(x)=2 x^{2}+1\) and \(g(x)=3 x+5\) to evaluate or find the composite function as indicated. \(f(g(x))\)

For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. \(a(x)=\sqrt{-x+4}\)

For the following exercises, use the functions \(f(x)=2 x^{2}+1\) and \(g(x)=3 x+5\) to evaluate or find the composite function as indicated. \(g(f(-3))\)

For the following exercises, graph \(y=x^{3}\) on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. [-0.1,0.1]

For the following exercises, use the functions \(f(x)=2 x^{2}+1\) and \(g(x)=3 x+5\) to evaluate or find the composite function as indicated. \((g \circ g)(x)\)

For the following exercises, use \(f(x)=x^{3}+1\) and \(g(x)=\sqrt[3]{x-1}\). Find \((f \circ g)(x)\) and \((g \circ f)(x)\). Compare the two answers.

For the following exercises, use \(f(x)=x^{3}+1\) and \(g(x)=\sqrt[3]{x-1}\). Find \((f \circ g)(2)\) and \((g \circ f)(2)\)