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1036

If f(x) = \(\frac{2 - x}{x}\), x ≠ 0, find the inverse of f.

  • A. \(\frac{2}{x - 1}\), x ≠ 1
  • B. \(\frac{2}{x+1}\), x ≠ -1
  • C. \(\frac{2}{1-x}\), x ≠ 1
  • D. \(\frac{x}{2 + x}\), x ≠ -2
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1037

Solve 2\(^{2x}\) -  5(2\(^x\)) + 4 = 0 

  • A. x = 0 and 2
  • B. x = 1 and 2
  • C. x = 0 and 1
  • D. x = 2 and 4
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1038

If p = \(\begin{pmatrix}2 \\ 4 \end{pmatrix}\) and q = \(\begin{pmatrix} 10 \\ -1 \end{pmatrix}\), find a vector, r such that 2p - 3r = q

  • A. \(\begin{pmatrix} -2 \\ 3 \end{pmatrix}\)
  • B. \(\begin{pmatrix} -26 \\ 11 \end{pmatrix}\)
  • C. \(\begin{pmatrix} 2 \\ 3 \end{pmatrix}\)
  • D. \(\begin{pmatrix} 6 \\ -9 \end{pmatrix}\)
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1039

Given that p = \(\begin{pmatrix} m + 1 & m - 1 \\ m + 4 & m - 8 \end{pmatrix}\) and |p| = - 34, find the value of m.

  • A. 5
  • B. 4
  • C. 3
  • D. 2
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1040

If r = i + 2j and n = -i + 3j, find |2n - r|.

  • A. 3.6
  • B. 4.0
  • C. 5.0
  • D. 8.5
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