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Magazine Problem 78
For the following exercises, graph \(y=x^{2}\) on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. $$ [-100,100] $$
Problem 78
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. $$g(f(-3))$$
Problem 78
Use the functions \(f(x)=2 x^{2}+1\) and \(g(x)=3 x+5\) to evaluate or find the composite function as indicated. $$ g(f(-3)) $$
Problem 79
Use the functions \(f(x)=2 x^{2}+1\) and \(g(x)=3 x+5\) to evaluate or find the composite function as indicated. $$ (g \circ g)(x) $$
Problem 79
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. $$(g \circ g)(x)$$
Problem 79
For the following exercises, graph \(y=x^{3}\) on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. $$[-0.1,0.1]$$
Problem 80
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.
Problem 80
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.
Problem 81
For the following exercises, use \(f(x)=x^{3}+1\) and \(g(x)=\sqrt[3]{x-1}\). Find \((f \circ g)(2)\) and \((g \circ f)(2)\).
Problem 81
For the following exercises, graph \(y=x^{3}\) on the given viewing window. Determine the corresponding range for each viewing window. Show each graph. $$[-100,100]$$
