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Chapter 2: Problem 94
let \(f(x)=x^{2}-x+4\) and \(g(x)=3 x-5\) Find \(g(-1)\) and \(f(g(-1))\)
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Use a graphing utility to graph each circle whoseequation is given. Use a square setting for the viewing window. $$(y+1)^{2}=36-(x-3)^{2}$$
Express the given function \(h\) as \(a\) composition of two functions \(f\) and \(g\) so that \(h(x)=(f \circ g)(x)\). $$h(x)=(2 x-5)^{3}$$
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. Prove that if \(f\) and \(g\) are even functions, then \(f g\) is also an even function.
Use a graphing utility to graph each circle whose equation is given. Use a square setting for the viewing window. $$x^{2}+y^{2}=25$$
Determine whether each statement makes sense or does not make sense, and explain your reasoning. I used a function to model data from 1990 through 2015 . The independent variable in my model represented the number of years after 1990 , so the function's domain was \(\\{x | x=0,1,2,3, \ldots, 25\\}\)
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