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Find (f g)(x) and (g " f)(x). Also specify the domain for each. f(x) = 7x-6 g(x=x2+5x-6 (f = g)(x) Solve the problem. If f(x) = X2 1 and g(x) = x + 1, find (f " g)(5) and (g " f)(-1). (f g)(5) = (g f)(-1) = Use synthetic division to determine the quotient and remainder for the problem (3x³ -7x² +7x-3) +x -1/3 Use synthetic division to show that g(x) is a factor of R()), and complete the factorization of Rx). g(x) = x + 1, f(x) = x³ - 4x2 - 11x - 6 Use the rational root theorem and the factor theorem to help solve the equation. Be sure that the number of solutions for the equation agrees with the property below, taking into account multiplicity of solutions. (Objectives 1, 2. Enter your answers as a comma- separated list. If a solution has multiplicity p, enterit p times.) A polynomial equation of degree n has n solutions, and any solution of multiplicity p is counted p times. 2x³ + 9x2 - 32x + 21 = 0 x Consider the following. 2x2-3y=-4 2x2 + 3y2 = 20 (b) Solve the system using the substitution method or the elimination-by-addition method. (Order your answers from smallest to largest, first by real part, then by imaginary part. Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) ( ' ) (x, y) ( ' ) (x, y) ( , ) (x, y) ( , ) Consider the following. (Objectives 1, 2, and 3) x²+y²=25 (b) Solve the system using the substitution or elimination method. (Order your answers from smallest to largest, first by real part, then by imaginary part. Order your answers from smallest to largest x, then from smallest to largest y.) (x,y) (x,y) Consider the following. x2 <2 4 x2 y2 4 (b) Solve the system using the substitution method or the elimination-by-addition method. (Order your answers from smallest to largest, first by real part, then by imaginary part. Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) ( , ) (x, y) ( . )

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8 Linear Algebra Questions
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