# HW12 - MAP 103: Prociency Algebra Homework #12 DUE:...

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MAP 103: Proficiency AlgebraHomework #12DUE: TUESDAY, NOV. 24, 20091.Letf(x) =x+ 1 andg(x) =12x+ 2.Perform the given operations onf(x) andg(x),specifiedbelow.(a)f(x) +g(x)(b)f(x)-g(x)(c)f(x)·g(x)(d) (*)f(2x) +g(x-1)2.Find a formula for the inverse function to each of the functions given below.(a)f(x) = 2x-3(b)g(x) =12x+ 2(c)m(x) = (x2+ 1)2+ 1(d)n(x) =x-1x+13.Letf(x) =x2+ 1.(a) Find a formula for the inverse off(x).(b) On what domain would the graph off-1(x) be a function? (i.e. pass the vertical line test)4.Consider a relationR={(0,1),(1,2),(2,4),(3,8),(4,16)}.Does the relationRhave an inverse? Ifso, does that meanRalso has an inverse function?5.Letf(x) =1x+1andg(x) =2+xx+3.Find an algebraic expression forf-1(x) +g-1(x).What is thedomain of this new expression?6.Letg(x) =13x+23.Find a formula forg-1(x),the inverse ofg(x),and solve the equationg-1(x) = 2.7.(*) In class, we discussed that it is also possible to get the inverse of a function if we reflected theoriginal graph over the liney=x.In other words, if (x, y) is a point on the original picture, thenwhen it is reflected over the line
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Expression, Inverse function, 20 000 feet, Pro ciency Algebra Homework
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Chapter 3 / Exercise 26
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