HSC Arts (English Medium) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

Check if the following function has an inverse function. If yes, find the inverse function.

f(x) = `{(x + 7, x < 0),(8 - x, x ≥ 0):}`

If f(x) = `{(x^2 + 3, x ≤ 2),(5x + 7, x > 2):}`, then find f(3)

If f(x) = `{(x^2 + 3, x ≤ 2),(5x + 7, x > 2):}`, then find f(2)

If f(x) = `{(x^2 + 3, x ≤ 2),(5x + 7, x > 2):}`, then find f(0)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(– 4)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(– 3)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(1)

If f(x) = `{(4x - 2",", x ≤ -3),(5",", -3 < x < 3),(x^2",", x ≥ 3):}`, then find f(5)

If f(x) = 2|x| + 3x, then find f(2)

If f(x) = 2|x| + 3x, then find f(– 5)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(7.2)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(0.5)

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find `"f"(- 5/2)`

If f(x) = 4[x] − 3, where [x] is greatest integer function of x, then find f(2π), where π = 3.14

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 1)

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find `"f"(1/4)`

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 1.2)

If f(x) = 2{x} + 5x, where {x} is fractional part function of x, then find f(– 6)

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

|x + 4| ≥ 5

Solve the following for x, where |x| is modulus function, [x] is greatest integer function, [x] is a fractional part function.

|x − 4| + |x − 2| = 3