Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
KCET2026MathematicsFunctions

The domain of the function x-7 9-x is

Options

  1. A[7, 9]
  2. B[7, 9)
  3. C(7, 9]
  4. D(7, 9)

Correct answer

B. [7, 9)

Step-by-step solution

For the function to be defined, the expression inside the square root must be non-negative and the denominator must not be zero. x-7 9-x 0 and 9-x 0 Multiplying the numerator and denominator by -1 , we get: x-7 x-9 0 The critical points are x = 7 and x = 9 . Using the wavy curve method, the expression x-7 x-9 is less than or equal to zero for x [7, 9] . Since the denominator cannot be zero, x 9 . Therefore, the domain of the function is x [7, 9) . Answer: [7, 9)

Practice Functions on Quantrex Academy →

More from Functions

If f : R A , defined by f ( x )= x + 3 x -1 , is an onto function then A = 2025Let g(x)=1+x-[x] and f(x)= cases -1, & x 0 cases ([x] ) denotes the greatest integer less than or equal to (x ). Then for all x , f ( g ( x ))= 2025The domain of the real valued function f(x)= 3 4-x^2 + ₁₀ (x^3-x ) is 2025A real valued function f: A B defined by f(x)= 4-x^2 4+x^2 x A is a bijection. If -4 A then A B= 2025Let [ x ] represent the greatest integer less than or equal to x , x = x -[ x ] , 2 =1.414 and 3 =1.732 . If f(x)= x+ [ x 1+x^2 ] is a real valued function, then f ( 2 )+ f (- 3 )= 2025If the range of the function f(x)=-3 x-3 is 3,-6,-9,-18 , then which one of the following is not in the domain of f ? 2025The domain of the function f(x)= _e ( 1 x^2-4 x+4 ) + ⁻¹ (x^2-2 ) is 2025Consider the following statements Statement-I : A function f : A B is said to be one-one if and only if f(x) f(y) x y Statement-II : A relation f: A B is said to be a function if x 2025 Full Functions list All KCET PYQs