lf `2 lt x^2 lt3 `then find number of positive roots of the equation function `{1/x}={x^2}` Here {} denotes fractional part function

Solve {x+1}-x^(2)+2x>0( where {.} denotes fractional part function)

If x in[2,3) ,then {x} equals, where {.} denotes fractional part function.

The domain of the function f(x)=(1)/(sqrt({x}))-ln(x-2{x}) is (where {.} denotes the fractional part function)

Consider the function f(x)=(cos^(-1)(1-{x}))/(sqrt(2){x}); where {.} denotes the fractional part function,then

Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10x + 11}] is(where, {x} denotes fractional part of x and [x] denotes greatest integer function) (a)0 (b)1 (c)2 (d)3

Find the number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10x + 11}] is(where, {x} denotes fractional part of x and [x] denotes greatest integer function) (a)0 (b)1 (c)2 (d)3

Q. Number of tangents drawn from the point (-1/2, 0) to the curve y=e^{{x}} , (Here { } denotes fractional part function).

The sum of solutions of the equation 2[x] + x =6{x} is (where [.] denotes the greatest integer function and {.} denotes fractional part function)

The number of solutions of the equation e^(2x) + e^x-2=[{x^2 + 10x + 11}] is(where, {x} denotes fractional part of x and [x] denotes greatest integer function)

If f(x)=sgn(x-2) xx [In x], 1leq x leq 3 and {x^2} ,-3 lt x leq 3.5 where [.] denotes the greatest integer function and {.} represents the fractional part functon, then the number of points of discontinuity in [1,3.5] is