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Find a degree 
Magazine Problem 31
Find the proportionality constant and write a formula that expresses the indicated variation. See Example 3. \(A\) varies inversely as \(B,\) and \(A=10\) when \(B=3\).
Problem 32
Let \(f(x)=2 x-3, g(x)=x^{2}+3 x,\) and \(h(x)=\frac{x+3}{2} .\) Find the following. See Examples 4 and \(5 .\) $$(h \circ h)(3)$$
Problem 33
Let \(f(x)=2 x-3, g(x)=x^{2}+3 x,\) and \(h(x)=\frac{x+3}{2} .\) Find the following. See Examples 4 and \(5 .\) $$(h \circ f)(5)$$
Problem 34
Find \(f^{-1}\). Check that \(\left(f \circ f^{-1}\right)(x)=x\) and \(\left(f^{-1} \circ f\right)(x)=x\) Strategy for Finding \(f^{-1}\) by Switch-and Solve. $$j(x)=x+7$$
Problem 34
Let \(f(x)=2 x-3, g(x)=x^{2}+3 x,\) and \(h(x)=\frac{x+3}{2} .\) Find the following. See Examples 4 and \(5 .\) $$(f \circ h)(0)$$
Problem 35
Find \(f^{-1}\). Check that \(\left(f \circ f^{-1}\right)(x)=x\) and \(\left(f^{-1} \circ f\right)(x)=x\) Strategy for Finding \(f^{-1}\) by Switch-and Solve. $$k(x)=5 x-9$$
Problem 35
Let \(f(x)=2 x-3, g(x)=x^{2}+3 x,\) and \(h(x)=\frac{x+3}{2} .\) Find the following. See Examples 4 and \(5 .\) $$(f \circ h)(5)$$
Problem 36
Find \(f^{-1}\). Check that \(\left(f \circ f^{-1}\right)(x)=x\) and \(\left(f^{-1} \circ f\right)(x)=x\) Strategy for Finding \(f^{-1}\) by Switch-and Solve. $$r(x)=2 x-8$$
Problem 36
Let \(f(x)=2 x-3, g(x)=x^{2}+3 x,\) and \(h(x)=\frac{x+3}{2} .\) Find the following. See Examples 4 and \(5 .\) $$(h \circ f)(0)$$
Problem 37
Find \(f^{-1}\). Check that \(\left(f \circ f^{-1}\right)(x)=x\) and \(\left(f^{-1} \circ f\right)(x)=x\) Strategy for Finding \(f^{-1}\) by Switch-and Solve. $$m(x)=\frac{2}{x}$$
