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Integrations and complex functions Integrations and complex functions ,Let π(π₯) = βπ₯ β 3 and π(π₯) = (π₯ β 3)2, find (πππ)(7). solutions Answer: gof (7) = 1 f (7) = βx-3 =β4 =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 π(π₯) = βπ₯ β 3 […]
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Squares and square roots: Equations Find the real value(s) of x that verify: βπ₯ + β7π₯ + 2 = 0 solution Answer: NO REAL VALUES. Work: Let βπ₯ be a and β (7x +2) be b If a>=0, b>=0 thenβπ₯ (a) + β (7x +2)(b)=0, Then a=b=0, for this equation to be
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Question: Determine the inverse of the function: β(π₯) = 2π₯β3/(1βπ₯) 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 = 2yβ3 1-x Solve for y, x(1βy) = 2yβ3 x-xy= 2yβ3 2y+xy = x +3.
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Subject: Mathematics Quiz Β INSTRUCTIONS Please use the Answer Sheet below to type your work. Problem 1: Solve the equation: (4π₯ β 5)4 = 81. SolutionsΒ Problem 1 Answer: x= 2 or x= 0.5 Work: 4β 4xβ5 = 4 β81. Here, weΒ get the root of 4 on both sides. 4xβ5 =Β±3.
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the solution below is from differential problem
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