91Ó°ÊÓ

Use each pair of functions to find \(f(g(0))\) and \(g(f(0))\). $$ f(x)=\frac{1}{x+2}, g(x)=4 x+3 $$

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

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, 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. $$ [-0.1,0.1] $$

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. $$f(g(x))$$

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

Use the functions \(f(x)=2 x^{2}+1\) and \(g(x)=3 x+5\) to evaluate or find the composite function as indicated. $$ f(g(x)) $$