Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
AP EAMCET2007MathematicsLimits

If f(x)= array lll x-5, & for x 1 4 x^2-9, & for 1 < x < 2 3 x+4, & for x 2, array . then f^ (2⁺ ) is equal to

Options

  1. A0
  2. B2
  3. C3
  4. D4

Correct answer

C. 3

Step-by-step solution

Given, aligned f(x) & = cases x-5 & for x 1 4 x^2-9 & for 1 < x < 2 3 x+4 & for x 2 cases f^ (2⁺ ) & = _ x 2⁺ ( f(x)-f(2) x-2 ) & = _ x 2⁺ 3 x+4-(6+4) x-2 & = _ x 2 3 x-6 x-2 & =3 aligned

Practice Limits on Quantrex Academy →

More from Limits

If _ x 0 ( p 2x + 1 - 2x x + x ) = 1 then the value of ' p ' is 2026_ x 2 ( 1 - x x ) is equal to 2026The value of _ x 3 [ 1 x-3 + 9x 27-x^3 ] is: 2026_ x 0 (1 - 2x)(3 + x) x 4x is equal to: 2026If _ x 3 ( x^2 - ax - 3b x - 3 ) = 5 , then a + b = 2026If f(x) = cases x^2 - 1 & if x 2 x + 1 & if x < 2 cases , then _ x 1 f(x) + _ x 2 f(x) = 2026_ x 4 2 2 -( x+ x)^3 1- 2 x = 2025Let [x] denote the greatest integer less than or equal to x . Then _ x 2⁺ ( [x]^3 3 - [ x 3 ]^3 )= 2025 Full Limits list All AP EAMCET PYQs