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Let the domains of the functions f ( x )= ₄ ₃ ₇ (8- ₂ ( x ^2+4 x +5 ) ) and g(x)= ⁻¹ ( 7 x+10 x-2 ) be ( , ) and [ , ] , respectively. Then ^2+ ^2+ ^2+ ^2 is equal to :-

Options

  1. A15
  2. B13
  3. C16
  4. D14

Correct answer

A. 15

Step-by-step solution

aligned & ₃ ( ₇ (8- ₂ ( x ^2+4 x +5 ) ) ) 0 & ₂ ( x ^2+4 x +5 ) 1 & x ^2+4 x +3 0 & x (-3,-1) & -1 7 x +10 x -2 1 & x [-2,-1] & =-3, =-1, =-2, =-1 & ^2+ ^2+ ^2+ ^2=15 & option (1) aligned

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