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Regression

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Integrations and complex functions

Leave a Comment / Caluculus, Differential equations, Integrations, logarithms, Mathematics, Matrix, Quadratic equations, Regression, Statistics /

Integrations and complex functions Integrations and complex functions ,Let ๐‘“(๐‘ฅ) = โˆš๐‘ฅ โˆ’ 3 and ๐‘”(๐‘ฅ) = (๐‘ฅ โˆ’ 3)2, find (๐‘”๐‘œ๐‘“)(7). solutions Answer: gof (7) = 1 f (7) = โˆšx-3 =โˆš4 =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 ๐‘“(๐‘ฅ) = โˆš๐‘ฅ โˆ’ 3 […]

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Variables and Squares

Leave a Comment / Agebra, Basic Maths, Caluculus, Equations, Mathematics, Probabilities, Quadratic equations, Real analysis, Regression, Statistics, Subsets, Trigonomentry /

Variables and Squares, See the working belowย  for the problem. Solve: 3โˆš(6๐‘ฅ + 9) + 8 = 5   Solution Answers: x= -6. Work: 3โˆš6๐‘ฅ + 9ย  ย + 8 = 5 3โˆš6๐‘ฅย + 9 = 5โ€“8 ย ย ย ย ย ย ย ย  3โˆš6๐‘ฅย + 9 = โ€“3. We cube both sides 6 ๐‘ฅย +9 = -27 6 ๐‘ฅย = โ€“36 ๐‘ฅย = โ€“6 Variables and

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Mathematics: Inverse functions and calculations

Leave a Comment / Agebra, Basic Maths, Binomial functions, Caluculus, Correlation, Differential equations, Equations, Expontials, Mathematics, Quadratic equations, Regression, Statistics /

  Question: Determine the inverse of the function: โ„Ž(๐‘ฅ) = 2๐‘ฅโˆ’3/(1โˆ’๐‘ฅ)   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 = 2yโ€“3 1-x Solve for y, x(1โ€“y) = 2yโ€“3 x-xy= 2yโ€“3   2y+xy = x +3.

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