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Integrations and complex functions Integrations and complex functions ,Let 𝑓(𝑥) = √𝑥 − 3 and 𝑔(𝑥) = (𝑥 − 3)2, find (𝑔𝑜𝑓)(7). solutions Answer: gof (7) = 1 f (7) = √x-3 =√4 =2. Work: (gof)(7)= g(f(7))= f(7)= g(2) g(2)= (x-3)2 = (2-3)2 =(-1)2 =1. Integrations and complex functions, Let 𝑓(𝑥) = √𝑥 − 3 […]
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Variables and Squares, See the working below for the problem. Solve: 3√(6𝑥 + 9) + 8 = 5 Solution Answers: x= -6. Work: 3√6𝑥 + 9 + 8 = 5 3√6𝑥 + 9 = 5–8 3√6𝑥 + 9 = –3. We cube both sides 6 𝑥 +9 = -27 6 𝑥 = –36 𝑥 = –6 Variables and
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Question: Determine the inverse of the function: ℎ(𝑥) = 2𝑥−3/(1−𝑥) Solution and steps followed Answers: f-1 (x)= x+3 2+x Work: we replace h(x) with y, y= 2x-3 1-x We then swap the y for x, x = 2y–3 1-x Solve for y, x(1–y) = 2y–3 x-xy= 2y–3 2y+xy = x +3.
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Subject: Mathematics Quiz INSTRUCTIONS Please use the Answer Sheet below to type your work. Problem 1: Solve the equation: (4𝑥 − 5)4 = 81. Solutions Problem 1 Answer: x= 2 or x= 0.5 Work: 4√ 4x–5 = 4 √81. Here, we get the root of 4 on both sides. 4x–5 =±3.
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the solution below is from differential problem
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Solution :Matrices and law of matrices and Squares Question: 1 Since we are told that A is indepented, then we have A2 = A (I – A )2 we expand the problem and then solve (I – A)2 = I2 + A2 – 2AI2 (I– A)2 = I + A –2A
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