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If 2 x 3 4 , then ⁻¹ ( 12 13 x+ 5 13 x ) is equal to

Options

  1. Ax- ⁻¹ 4 3
  2. Bx+ ⁻¹ 4 5
  3. Cx- ⁻¹ 5 12
  4. Dx+ ⁻¹ 5 12

Correct answer

C. x- ⁻¹ 5 12

Step-by-step solution

aligned & 12 13 x+ 5 13 x & Let = 5 12 , (0, 2 ) & = 5 13 , = 12 13 aligned aligned & 12 13 x+ 5 13 x= x+ x & = (x- ) & ⁻¹[ (x- )]=x- & =x- ⁻¹ ( 5 12 ) aligned

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