Given f x 2 x 1 x 3 find a f 1 x b dom f c ran f 11 Given f x x 4 and g x x 2 6

Given f x 2 x 1 x 3 find a f 1 x b dom f c ran f 11

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10. Givenf(x) =2x-1x-3, find (a)f-1(x)(b) domf(c) ranf 11. Givenf(x) =x+ 4 andg(x) =x2-6x+ 5, find(fg)(x).II. Simplify the following expressions.(Assume all variables are positive.)1.8a2b3-8a4b4(2ab)22.6p16x4y2+4xy3p2xy23.163e2r1182e-52r3r9!13III. Consider the following functions:f(x) = 4-xandg(x) =x2-6x+ 81. Find thex- andy-intercepts offandg.2. Find the coordinates of the vertex of the parabola.3. Find the point(s) of intersection of the two graphs.4. Sketch the two graphs on the same Cartesian plane.Label the intercepts, vertex and points of intersec-tion. IV. Find the solution set of the following equations, sys-tems of equations and inequalities.1.8x+ 17-2x+ 1 = 02.|x-3|+ 1 = 2x3. 2x3-10x2+ 15x-6 = 04.3x+ 4y-3z=-1-x-2y+z= 12x-y= 75.x-11x2-4x-51V. Solve the following problems completely. Identify thevariables, set-up the equation(s) and solve the resultingequation or system of equations.1. The first Hasht5 concert had ticket sales of P27,000when regular fans paid P500 each and the VIP fanspaid P1000 each. For their final concert, the num-ber of regular fans is halved and eight more VIPfans attended, and the ticket sales rose to P30,000.Find the number of regular fans and VIP fans whoattended the first concert.2. It is known that everyday, the amount of bacteriain a culture increases in a geometric progression.On March 24, the culture has 800 million bacteria.
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