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Basic Maths

Functions and Vectors

Functions and Vectors Functions and Vectors, Determine is the following function is one-to-one (explain your answer); F = {(-2,1), (-5,-1), (3,-5), (1,-2), (0,5), (-1,6), (-6,7), (7,-6)} solution. APA Answer: ALL FUNCTIONS ARE ONE-IN-ONE.   Work: All answers in one-to-one functions don’t repeat. I have used a f(x)= x+1 as my reference equation.  solution   Answer: […]

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Variables and Squares

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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Mathematics: Inverse functions and calculations

  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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