HSC Arts (English Medium) ११ वीं कक्षा - Maharashtra State Board Question Bank Solutions

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

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

x² + 7 |x| + 12 = 0

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

|x| ≤ 3

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

2|x| = 5

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

[x + [x + [x]]] = 9

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

{x} > 4

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

{x} = 0

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

{x} = 0.5

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

2{x} = x + [x]

Answer the following:

Find whether the following function is onto or not.

f : Z → Z defined by f(x) = 6x – 7 for all x ∈ Z

Answer the following:

Find whether the following function is onto or not.

f : R → R defined by f(x) = x² + 3 for all x ∈ R

Answer the following:

Find composite of f and g:
f = {(1, 3), (2, 4), (3, 5), (4, 6)}
g = {(3, 6), (4, 8), (5, 10), (6, 12)}

Answer the following:

Find composite of f and g:
f = {(1, 1), (2, 4), (3, 4), (4, 3)}
g = {(1, 1), (3, 27), (4, 64)}

Answer the following:

Find f ° g and g ° f : f(x) = x² + 5, g(x) = x – 8

Answer the following:

Find f ° g and g ° f: f(x) = 3x – 2, g(x) = x²