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AP EAMCET202017 Sep 2020Morning ShiftMathematicsInverse Trigonometric FunctionsActual

The domain of (f(x)= ⁻¹ ( x-3 2 )- ₁₀(4-x) ) is

Options

  1. A((1,4) )
  2. B([1,4) )
  3. C((1,4] )
  4. D([1,4] )

Correct answer

B. ([1,4) )

Step-by-step solution

Let (f(x)= ⁻¹ ( x-3 2 )- ₁₀(4-x) ) For domain of ( ₁₀(4-x) 4-x > 0 x < 4 ) For domain of ( ⁻¹ ( x-3 2 ) -1 x-3 2 1 ) ( 1 x 5 ) Now domain of (f(x) ) will be (x [1,4) )

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