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Simplifying (fg)(x) = (5x + 4)(4x + -5) Multiply fg * x fgx = (5x + 4)(4x + -5) Reorder the terms: fgx = (4 + 5x)(4x + -5) Reorder the terms: fgx = (4 + 5x)(-5 + 4x) Multiply (4 + 5x) * (-5 + 4x) fgx = (4(-5 + 4x) + 5x * (-5 + 4x)) fgx = ((-5 * 4 + 4x * 4) + 5x * (-5 + 4x)) fgx = ((-20 + 16x) + 5x * (-5 + 4x)) fgx = (-20 + 16x + (-5 * 5x + 4x * 5x)) fgx = (-20 + 16x + (-25x + 20x2)) Combine like terms: 16x + -25x = -9x fgx = (-20 + -9x + 20x2) Solving fgx = -20 + -9x + 20x2 Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Divide each side by 'gx'. f = -20g-1x-1 + -9g-1 + 20g-1x Simplifying f = -20g-1x-1 + -9g-1 + 20g-1x Reorder the terms: f = -9g-1 + -20g-1x-1 + 20g-1x
| 29=-6x-5 | | 4(k+9)=12 | | 2x+7=6x-33 | | 2.4*3= | | 3y-6x=-6 | | 2(3x-5)=22 | | -6.2+3(-2+2p)=-4.6 | | -26+4x=39+9x | | -2+3x+3x=-74 | | 3t+1=2t-10 | | -2+3x=-74 | | (40x-17)+(35-2x)+(6+x)=180 | | -4m+7=17 | | -2x+5+x=5 | | 5=6v+11 | | t=71-29x | | x^3-12x^2+21x-82=0 | | 5x^2+300x-xy-6y=0 | | x^3-12x^12+21x-82=0 | | 4x+5=60-6x | | x^3-12x^12+21x-81=0 | | 5=ln(90t+1) | | 6+9+x=18 | | y(y+11)(y-11)= | | 13x+6=9x-30 | | 2y^2=1-y | | 7(-1-2x)=-119 | | xy+x+y=9 | | 2(x+1)=5-2 | | y+3y=180 | | 12+3=1218 | | 4y+20.7=1.9 |